由四個數計算24有規律么？
12-02
小時候大家應該玩過的吧~~
就說簡單原始的，以1~10中的任意四個數，以「+」、「-」、「*」、「/」和「（）」（階乘這種喪心病狂的演算法就算了吧），計算出24。
問題就是，
是不是任何數字都能計算出來24，有沒有什麼規律？
共715種組合，149種無解。有解比例：79.16%，無解比例：20.84%。全部組合列出如下：
1 1 1 1: no answer!
1 1 1 2: no answer!
1 1 1 3: no answer!
1 1 1 4: no answer!
1 1 1 5: no answer!
1 1 1 6: no answer!
1 1 1 7: no answer!
1 1 1 8: ((1+(1+1))*8)=24
1 1 1 9: no answer!
1 1 1 10: no answer!
1 1 2 2: no answer!
1 1 2 3: no answer!
1 1 2 4: no answer!
1 1 2 5: no answer!
1 1 2 6: ((1+(1+2))*6)=24
1 1 2 7: ((1+2)*(1+7))=24
1 1 2 8: ((1*(1+2))*8)=24
1 1 2 9: ((1+2)*(9-1))=24
1 1 2 10: ((1+(1+10))*2)=24
1 1 3 3: no answer!
1 1 3 4: ((3*(1+1))*4)=24
1 1 3 5: ((1+3)*(1+5))=24
1 1 3 6: ((1*(1+3))*6)=24
1 1 3 7: ((1*(1+7))*3)=24
1 1 3 8: ((1-(1-3))*8)=24
1 1 3 9: ((1*(9-1))*3)=24
1 1 3 10: ((10-(1+1))*3)=24
1 1 4 4: ((1+(1+4))*4)=24
1 1 4 5: ((1*(1+5))*4)=24
1 1 4 6: ((1-(1-4))*6)=24
1 1 4 7: ((1*(7-1))*4)=24
1 1 4 8: ((1*(4-1))*8)=24
1 1 4 9: ((1-4)*(1-9))=24
1 1 4 10: ((10*(1+1))+4)=24
1 1 5 5: ((1*(5*5))-1)=24
1 1 5 6: ((1*(5-1))*6)=24
1 1 5 7: ((1+1)*(5+7))=24
1 1 5 8: ((5-(1+1))*8)=24
1 1 5 9: no answer!
1 1 5 10: no answer!
1 1 6 6: ((6-(1+1))*6)=24
1 1 6 7: no answer!
1 1 6 8: ((6/(1+1))*8)=24
1 1 6 9: ((9*(1+1))+6)=24
1 1 6 10: no answer!
1 1 7 7: no answer!
1 1 7 8: no answer!
1 1 7 9: no answer!
1 1 7 10: ((7*(1+1))+10)=24
1 1 8 8: ((8*(1+1))+8)=24
1 1 8 9: no answer!
1 1 8 10: no answer!
1 1 9 9: no answer!
1 1 9 10: no answer!
1 1 10 10: no answer!
1 2 2 2: no answer!
1 2 2 3: no answer!
1 2 2 4: ((2*(1+2))*4)=24
1 2 2 5: ((2*(1+5))*2)=24
1 2 2 6: ((1*(2+2))*6)=24
1 2 2 7: ((2*(7-1))*2)=24
1 2 2 8: ((2-(1-2))*8)=24
1 2 2 9: ((1+(2+9))*2)=24
1 2 2 10: ((1*(2+10))*2)=24
1 2 3 3: ((2*(1+3))*3)=24
1 2 3 4: ((1+(2+3))*4)=24
1 2 3 5: ((1+(2+5))*3)=24
1 2 3 6: ((1*(2+6))*3)=24
1 2 3 7: ((1+(3*7))+2)=24
1 2 3 8: ((1+(3+8))*2)=24
1 2 3 9: ((1-(2-9))*3)=24
1 2 3 10: ((1+(2*10))+3)=24
1 2 4 4: ((1*(2+4))*4)=24
1 2 4 5: ((2-(1-5))*4)=24
1 2 4 6: ((4*(2-1))*6)=24
1 2 4 7: ((1-(2-7))*4)=24
1 2 4 8: ((1-(2-4))*8)=24
1 2 4 9: ((2*(1+9))+4)=24
1 2 4 10: ((1*(2*10))+4)=24
1 2 5 5: ((1+(5*5))-2)=24
1 2 5 6: ((1-(2-5))*6)=24
1 2 5 7: ((1*(5+7))*2)=24
1 2 5 8: ((1*(5-2))*8)=24
1 2 5 9: ((1+(2*9))+5)=24
1 2 5 10: ((5+(2*10))-1)=24
1 2 6 6: ((1*(6-2))*6)=24
1 2 6 7: ((6*(1+7))/2)=24
1 2 6 8: ((1/(2/6))*8)=24
1 2 6 9: ((1*(2*9))+6)=24
1 2 6 10: ((2*(1+6))+10)=24
1 2 7 7: (((7*7)-1)/2)=24
1 2 7 8: ((1+(2*8))+7)=24
1 2 7 9: ((1+(2*7))+9)=24
1 2 7 10: ((1*(2*7))+10)=24
1 2 8 8: ((1*(2*8))+8)=24
1 2 8 9: ((2*(9-1))+8)=24
1 2 8 10: ((2*(8-1))+10)=24
1 2 9 9: no answer!
1 2 9 10: no answer!
1 2 10 10: no answer!
1 3 3 3: (((3*3)-1)*3)=24
1 3 3 4: ((1*(3+3))*4)=24
1 3 3 5: ((1*(3+5))*3)=24
1 3 3 6: ((3*(1+6))+3)=24
1 3 3 7: ((1*(3*7))+3)=24
1 3 3 8: ((3*(1+8))-3)=24
1 3 3 9: ((1*(3*9))-3)=24
1 3 3 10: ((1-(3-10))*3)=24
1 3 4 4: ((1*(4+4))*3)=24
1 3 4 5: ((1+(4*5))+3)=24
1 3 4 6: (6/(1-(3/4)))=24
1 3 4 7: ((4+(3*7))-1)=24
1 3 4 8: ((1-(3-8))*4)=24
1 3 4 9: ((1+(3*9))-4)=24
1 3 4 10: ((10-(1+3))*4)=24
1 3 5 5: no answer!
1 3 5 6: ((1+(3*6))+5)=24
1 3 5 7: ((1+5)*(7-3))=24
1 3 5 8: ((1-(3-5))*8)=24
1 3 5 9: ((1*(3*5))+9)=24
1 3 5 10: ((10+(3*5))-1)=24
1 3 6 6: ((1-(3-6))*6)=24
1 3 6 7: ((1*(7-3))*6)=24
1 3 6 8: ((1*(6-3))*8)=24
1 3 6 9: ((1+(9/3))*6)=24
1 3 6 10: ((1*(3*10))-6)=24
1 3 7 7: ((1-7)*(3-7))=24
1 3 7 8: ((7-(1+3))*8)=24
1 3 7 9: ((9*(1+7))/3)=24
1 3 7 10: ((1+(3*10))-7)=24
1 3 8 8: ((8*(1+3))-8)=24
1 3 8 9: ((1/(3/8))*9)=24
1 3 8 10: ((8*(10-1))/3)=24
1 3 9 9: ((9*(9-1))/3)=24
1 3 9 10: ((3*(1+10))-9)=24
1 3 10 10: ((1+(3+10))+10)=24
1 4 4 4: ((4*(1+4))+4)=24
1 4 4 5: ((1*(4*5))+4)=24
1 4 4 6: ((4*(1+6))-4)=24
1 4 4 7: ((1+(4*4))+7)=24
1 4 4 8: ((1*(4*4))+8)=24
1 4 4 9: ((1-(4-9))*4)=24
1 4 4 10: ((1*(10-4))*4)=24
1 4 5 5: ((5+(4*5))-1)=24
1 4 5 6: (4/(1-(5/6)))=24
1 4 5 7: ((1+(4*7))-5)=24
1 4 5 8: ((4*(5-1))+8)=24
1 4 5 9: ((5*(4-1))+9)=24
1 4 5 10: ((1-(5-10))*4)=24
1 4 6 6: ((6*(1+4))-6)=24
1 4 6 7: ((1-(4-7))*6)=24
1 4 6 8: ((1-(4-6))*8)=24
1 4 6 9: ((9-(1+4))*6)=24
1 4 6 10: ((10*(4-1))-6)=24
1 4 7 7: ((1+7)*(7-4))=24
1 4 7 8: ((1*(7-4))*8)=24
1 4 7 9: ((1-9)*(4-7))=24
1 4 7 10: no answer!
1 4 8 8: ((1*(4*8))-8)=24
1 4 8 9: ((1+(4*8))-9)=24
1 4 8 10: no answer!
1 4 9 9: no answer!
1 4 9 10: ((1+(4+9))+10)=24
1 4 10 10: ((1*(4+10))+10)=24
1 5 5 5: ((5-(1/5))*5)=24
1 5 5 6: ((5*(1+5))-6)=24
1 5 5 7: no answer!
1 5 5 8: no answer!
1 5 5 9: ((1+5)*(9-5))=24
1 5 5 10: ((5*(10-5))-1)=24
1 5 6 6: ((1*(5*6))-6)=24
1 5 6 7: ((1+(5*6))-7)=24
1 5 6 8: ((1-(5-8))*6)=24
1 5 6 9: ((1*(9-5))*6)=24
1 5 6 10: ((10-(1+5))*6)=24
1 5 7 7: no answer!
1 5 7 8: ((1-(5-7))*8)=24
1 5 7 9: ((1-7)*(5-9))=24
1 5 7 10: ((1+(7/5))*10)=24
1 5 8 8: ((1*(8-5))*8)=24
1 5 8 9: ((9-(1+5))*8)=24
1 5 8 10: ((1+(5+8))+10)=24
1 5 9 9: ((1+(5+9))+9)=24
1 5 9 10: ((1*(5+9))+10)=24
1 5 10 10: ((5-(1-10))+10)=24
1 6 6 6: ((6*(6-1))-6)=24
1 6 6 7: no answer!
1 6 6 8: (6/(1-(6/8)))=24
1 6 6 9: ((1-(6-9))*6)=24
1 6 6 10: ((1*(10-6))*6)=24
1 6 7 7: no answer!
1 6 7 8: no answer!
1 6 7 9: ((1+7)*(9-6))=24
1 6 7 10: ((1+(6+7))+10)=24
1 6 8 8: ((1-(6-8))*8)=24
1 6 8 9: ((1+(6+8))+9)=24
1 6 8 10: ((1*(6+8))+10)=24
1 6 9 9: ((1*(6+9))+9)=24
1 6 9 10: ((1+(10/6))*9)=24
1 6 10 10: no answer!
1 7 7 7: no answer!
1 7 7 8: no answer!
1 7 7 9: ((1+(7+7))+9)=24
1 7 7 10: ((1*(7+7))+10)=24
1 7 8 8: ((1+(7+8))+8)=24
1 7 8 9: ((1*(7+8))+9)=24
1 7 8 10: ((1*(10-7))*8)=24
1 7 9 9: ((7-(1-9))+9)=24
1 7 9 10: ((1-9)*(7-10))=24
1 7 10 10: no answer!
1 8 8 8: ((1*(8+8))+8)=24
1 8 8 9: ((8-(1-8))+9)=24
1 8 8 10: ((1-(8-10))*8)=24
1 8 9 9: no answer!
1 8 9 10: no answer!
1 8 10 10: no answer!
1 9 9 9: no answer!
1 9 9 10: no answer!
1 9 10 10: no answer!
1 10 10 10: no answer!
2 2 2 2: no answer!
2 2 2 3: ((2*(2+2))*3)=24
2 2 2 4: ((2+(2+2))*4)=24
2 2 2 5: ((2+(2*5))*2)=24
2 2 2 6: no answer!
2 2 2 7: (((2*7)-2)*2)=24
2 2 2 8: ((2+(2/2))*8)=24
2 2 2 9: ((2*(2+9))+2)=24
2 2 2 10: ((2+(2*10))+2)=24
2 2 3 3: ((2+(2*3))*3)=24
2 2 3 4: ((2+(2+4))*3)=24
2 2 3 5: (((2*5)-2)*3)=24
2 2 3 6: ((2*(6-2))*3)=24
2 2 3 7: ((2+(3+7))*2)=24
2 2 3 8: ((2-(2-3))*8)=24
2 2 3 9: ((2+(2/3))*9)=24
2 2 3 10: ((2*(3+10))-2)=24
2 2 4 4: ((4+(2*4))*2)=24
2 2 4 5: ((2*(2*5))+4)=24
2 2 4 6: ((2-(2-4))*6)=24
2 2 4 7: ((2*(2*7))-4)=24
2 2 4 8: ((2*(2*4))+8)=24
2 2 4 9: ((2+(2*9))+4)=24
2 2 4 10: ((2*(10-4))*2)=24
2 2 5 5: ((2+(5+5))*2)=24
2 2 5 6: ((2*(5+6))+2)=24
2 2 5 7: ((2*5)+(2*7))=24
2 2 5 8: ((2*(5+8))-2)=24
2 2 5 9: ((5-(2-9))*2)=24
2 2 5 10: ((2*(2+5))+10)=24
2 2 6 6: ((6*(2+6))/2)=24
2 2 6 7: ((2*(2+7))+6)=24
2 2 6 8: ((2*(2+6))+8)=24
2 2 6 9: ((9+(6/2))*2)=24
2 2 6 10: ((2+(2*6))+10)=24
2 2 7 7: ((7-(2-7))*2)=24
2 2 7 8: ((2+(2*7))+8)=24
2 2 7 9: no answer!
2 2 7 10: ((7+(10/2))*2)=24
2 2 8 8: ((2*(2*8))-8)=24
2 2 8 9: ((8+(2*9))-2)=24
2 2 8 10: ((2*(10-2))+8)=24
2 2 9 9: no answer!
2 2 9 10: ((2*(9-2))+10)=24
2 2 10 10: ((2+(2+10))+10)=24
2 3 3 3: ((2+(3+3))*3)=24
2 3 3 4: no answer!
2 3 3 5: ((3*(2+5))+3)=24
2 3 3 6: ((2*(3*3))+6)=24
2 3 3 7: ((2*(7-3))*3)=24
2 3 3 8: ((2+(3/3))*8)=24
2 3 3 9: ((2-(3-9))*3)=24
2 3 3 10: ((3+(10/2))*3)=24
2 3 4 4: ((3/(2/4))*4)=24
2 3 4 5: ((3-(2-5))*4)=24
2 3 4 6: ((2+(3*6))+4)=24
2 3 4 7: ((2*(3+7))+4)=24
2 3 4 8: ((2-(3-4))*8)=24
2 3 4 9: ((2/(3/4))*9)=24
2 3 4 10: ((2*(3+4))+10)=24
2 3 5 5: ((2+(5*5))-3)=24
2 3 5 6: ((2-(3-5))*6)=24
2 3 5 7: ((2+(3*5))+7)=24
2 3 5 8: ((2*(3+5))+8)=24
2 3 5 9: ((2+(3*9))-5)=24
2 3 5 10: ((5-(3-10))*2)=24
2 3 6 6: ((2*(3+6))+6)=24
2 3 6 7: ((6/(2/7))+3)=24
2 3 6 8: ((3*(2+8))-6)=24
2 3 6 9: ((3+(2*6))+9)=24
2 3 6 10: ((2*(10-6))*3)=24
2 3 7 7: ((3+(2*7))+7)=24
2 3 7 8: ((7-(3-8))*2)=24
2 3 7 9: ((3*(7-2))+9)=24
2 3 7 10: ((2+(7*10))/3)=24
2 3 8 8: ((3*(8+8))/2)=24
2 3 8 9: ((8*(9-3))/2)=24
2 3 8 10: ((2+(3*10))-8)=24
2 3 9 9: ((3*(2+9))-9)=24
2 3 9 10: ((2+(3+9))+10)=24
2 3 10 10: ((2*(10-3))+10)=24
2 4 4 4: ((4-(2-4))*4)=24
2 4 4 5: ((4*(2+5))-4)=24
2 4 4 6: ((2+(4*4))+6)=24
2 4 4 7: ((2*(7-4))*4)=24
2 4 4 8: ((2*(4+4))+8)=24
2 4 4 9: ((4*(9-2))-4)=24
2 4 4 10: ((2*(4+10))-4)=24
2 4 5 5: ((2*(5+5))+4)=24
2 4 5 6: ((2*(4+5))+6)=24
2 4 5 7: ((4*(5+7))/2)=24
2 4 5 8: ((2-(4-5))*8)=24
2 4 5 9: ((2*(5+9))-4)=24
2 4 5 10: ((4+(2*5))+10)=24
2 4 6 6: ((2-(4-6))*6)=24
2 4 6 7: ((2+(4*7))-6)=24
2 4 6 8: ((2/(4/6))*8)=24
2 4 6 9: ((2+(4/6))*9)=24
2 4 6 10: ((2-(6-10))*4)=24
2 4 7 7: ((2*(7+7))-4)=24
2 4 7 8: ((7/(2/8))-4)=24
2 4 7 9: ((7+(2*4))+9)=24
2 4 7 10: ((2*(10-7))*4)=24
2 4 8 8: ((4/(2/8))+8)=24
2 4 8 9: ((9-(2+4))*8)=24
2 4 8 10: ((2+(4+8))+10)=24
2 4 9 9: ((2+(4+9))+9)=24
2 4 9 10: ((10+(2*9))-4)=24
2 4 10 10: ((2+(4/10))*10)=24
2 5 5 5: no answer!
2 5 5 6: no answer!
2 5 5 7: ((5+(2*7))+5)=24
2 5 5 8: ((2+(5/5))*8)=24
2 5 5 9: ((5+(2*5))+9)=24
2 5 5 10: ((5-(2/10))*5)=24
2 5 6 6: ((6*(5-2))+6)=24
2 5 6 7: ((2-(5-7))*6)=24
2 5 6 8: ((2-(5-6))*8)=24
2 5 6 9: ((5/(2/6))+9)=24
2 5 6 10: ((2/(5/6))*10)=24
2 5 7 7: ((7+(2*5))+7)=24
2 5 7 8: (((2*5)-7)*8)=24
2 5 7 9: (((5*7)-2)-9)=24
2 5 7 10: ((2+(5+7))+10)=24
2 5 8 8: ((8+(5*8))/2)=24
2 5 8 9: ((2+(5+8))+9)=24
2 5 8 10: ((10-(2+5))*8)=24
2 5 9 9: no answer!
2 5 9 10: ((9+(2*10))-5)=24
2 5 10 10: ((10*(2+10))/5)=24
2 6 6 6: ((6+(2*6))+6)=24
2 6 6 7: ((6+(6*7))/2)=24
2 6 6 8: ((2+(6/6))*8)=24
2 6 6 9: ((2*(6+9))-6)=24
2 6 6 10: ((2+(6+6))+10)=24
2 6 7 7: no answer!
2 6 7 8: ((2-(6-7))*8)=24
2 6 7 9: ((2+(6+7))+9)=24
2 6 7 10: (((2*7)-10)*6)=24
2 6 8 8: ((2+(6+8))+8)=24
2 6 8 9: ((2/(6/8))*9)=24
2 6 8 10: ((2*(6+10))-8)=24
2 6 9 9: ((2+(6/9))*9)=24
2 6 9 10: ((9-(10/2))*6)=24
2 6 10 10: ((6-(2-10))+10)=24
2 7 7 7: no answer!
2 7 7 8: ((2+(7+7))+8)=24
2 7 7 9: no answer!
2 7 7 10: ((2+(10/7))*7)=24
2 7 8 8: ((2-(7-8))*8)=24
2 7 8 9: ((2*(7+9))-8)=24
2 7 8 10: no answer!
2 7 9 9: no answer!
2 7 9 10: ((7-(2-9))+10)=24
2 7 10 10: ((2*(7+10))-10)=24
2 8 8 8: ((2*(8+8))-8)=24
2 8 8 9: ((2-(8-9))*8)=24
2 8 8 10: ((8-(2-8))+10)=24
2 8 9 9: ((2+(9/9))*8)=24
2 8 9 10: ((2*(8+9))-10)=24
2 8 10 10: ((2+(10/10))*8)=24
2 9 9 9: no answer!
2 9 9 10: no answer!
2 9 10 10: ((9+(10/2))+10)=24
2 10 10 10: no answer!
3 3 3 3: ((3*(3*3))-3)=24
3 3 3 4: ((3*(3+4))+3)=24
3 3 3 5: ((3*3)+(3*5))=24
3 3 3 6: ((3*(3+3))+6)=24
3 3 3 7: ((7+(3/3))*3)=24
3 3 3 8: ((3+(3-3))*8)=24
3 3 3 9: ((9-(3/3))*3)=24
3 3 3 10: ((3*(10-3))+3)=24
3 3 4 4: (((3*4)-4)*3)=24
3 3 4 5: ((3*(4+5))-3)=24
3 3 4 6: ((3-(3-4))*6)=24
3 3 4 7: ((4-(3-7))*3)=24
3 3 4 8: ((3*(4-3))*8)=24
3 3 4 9: ((3+(3*4))+9)=24
3 3 4 10: no answer!
3 3 5 5: ((5*5)-(3/3))=24
3 3 5 6: ((3+(3*5))+6)=24
3 3 5 7: (((3*5)-7)*3)=24
3 3 5 8: no answer!
3 3 5 9: ((5+(9/3))*3)=24
3 3 5 10: ((3-(3/5))*10)=24
3 3 6 6: ((6+(6/3))*3)=24
3 3 6 7: ((3*(3+7))-6)=24
3 3 6 8: ((8*(3+6))/3)=24
3 3 6 9: ((3+(3*9))-6)=24
3 3 6 10: ((10-(3+3))*6)=24
3 3 7 7: ((3+(3/7))*7)=24
3 3 7 8: ((7+(3*3))+8)=24
3 3 7 9: ((7/(3/9))+3)=24
3 3 7 10: no answer!
3 3 8 8: (8/(3-(8/3)))=24
3 3 8 9: ((3*(3+8))-9)=24
3 3 8 10: ((3+(3+8))+10)=24
3 3 9 9: ((3+(3+9))+9)=24
3 3 9 10: ((3+(3*10))-9)=24
3 3 10 10: no answer!
3 4 4 4: ((4*(3+4))-4)=24
3 4 4 5: ((3+(4*4))+5)=24
3 4 4 6: ((3+(4/4))*6)=24
3 4 4 7: ((3-(4-7))*4)=24
3 4 4 8: ((3+(4-4))*8)=24
3 4 4 9: ((4-(4/3))*9)=24
3 4 4 10: ((4*(10-3))-4)=24
3 4 5 5: ((3+(5*5))-4)=24
3 4 5 6: ((3-(4-5))*6)=24
3 4 5 7: ((3*(7-5))*4)=24
3 4 5 8: ((3*(5-4))*8)=24
3 4 5 9: ((4-(5-9))*3)=24
3 4 5 10: ((3*(4/5))*10)=24
3 4 6 6: ((3*(4+6))-6)=24
3 4 6 7: no answer!
3 4 6 8: ((3*(8-6))*4)=24
3 4 6 9: ((3-(6-9))*4)=24
3 4 6 10: ((3*(10-4))+6)=24
3 4 7 7: ((3+(4*7))-7)=24
3 4 7 8: ((4*(7-3))+8)=24
3 4 7 9: ((3*(4+7))-9)=24
3 4 7 10: ((3+(4+7))+10)=24
3 4 8 8: no answer!
3 4 8 9: ((3+(4+8))+9)=24
3 4 8 10: ((3*(10-8))*4)=24
3 4 9 9: ((3*(9-4))+9)=24
3 4 9 10: no answer!
3 4 10 10: ((4+(3*10))-10)=24
3 5 5 5: no answer!
3 5 5 6: ((3*(5+5))-6)=24
3 5 5 7: ((7+(5/5))*3)=24
3 5 5 8: ((3+(5-5))*8)=24
3 5 5 9: ((3+(9/5))*5)=24
3 5 5 10: no answer!
3 5 6 6: ((3-(5-6))*6)=24
3 5 6 7: ((6*(5+7))/3)=24
3 5 6 8: ((3*(6-5))*8)=24
3 5 6 9: ((3*(5+6))-9)=24
3 5 6 10: ((3+(5+6))+10)=24
3 5 7 7: no answer!
3 5 7 8: ((7*(8-5))+3)=24
3 5 7 9: ((3+(5+7))+9)=24
3 5 7 10: ((5-(7-10))*3)=24
3 5 8 8: ((3+(5+8))+8)=24
3 5 8 9: ((5+(3*9))-8)=24
3 5 8 10: no answer!
3 5 9 9: ((5/(3/9))+9)=24
3 5 9 10: ((3*(10-5))+9)=24
3 5 10 10: ((10-(10/5))*3)=24
3 6 6 6: ((3+(6/6))*6)=24
3 6 6 7: ((3-(6-7))*6)=24
3 6 6 8: ((3+(6-6))*8)=24
3 6 6 9: ((3+(6+6))+9)=24
3 6 6 10: ((10*(6-3))-6)=24
3 6 7 7: ((3+(7/7))*6)=24
3 6 7 8: ((3+(6+7))+8)=24
3 6 7 9: ((6-(7-9))*3)=24
3 6 7 10: ((6/(3/7))+10)=24
3 6 8 8: ((3+(8/8))*6)=24
3 6 8 9: ((3-(8-9))*6)=24
3 6 8 10: ((6-(8-10))*3)=24
3 6 9 9: ((3+(9/9))*6)=24
3 6 9 10: ((3-(9-10))*6)=24
3 6 10 10: ((3-(6/10))*10)=24
3 7 7 7: ((3+(7+7))+7)=24
3 7 7 8: ((3+(7-7))*8)=24
3 7 7 9: ((9-(7/7))*3)=24
3 7 7 10: ((7*(10-7))+3)=24
3 7 8 8: ((3*(8-7))*8)=24
3 7 8 9: ((7-(8-9))*3)=24
3 7 8 10: no answer!
3 7 9 9: ((7+(9/9))*3)=24
3 7 9 10: ((7+(3*9))-10)=24
3 7 10 10: ((7-(3-10))+10)=24
3 8 8 8: ((3+(8-8))*8)=24
3 8 8 9: ((3*(9-8))*8)=24
3 8 8 10: (((8*10)-8)/3)=24
3 8 9 9: ((3*(8*9))/9)=24
3 8 9 10: ((3*(10-9))*8)=24
3 8 10 10: ((3*(8*10))/10)=24
3 9 9 9: ((9-(3-9))+9)=24
3 9 9 10: ((9+(9-10))*3)=24
3 9 10 10: ((9-(10/10))*3)=24
3 10 10 10: no answer!
4 4 4 4: ((4+(4*4))+4)=24
4 4 4 5: ((5+(4/4))*4)=24
4 4 4 6: ((4+(4-4))*6)=24
4 4 4 7: ((7-(4/4))*4)=24
4 4 4 8: ((4*(4+4))-8)=24
4 4 4 9: ((4*(9-4))+4)=24
4 4 4 10: (((4*4)-10)*4)=24
4 4 5 5: ((4+(4/5))*5)=24
4 4 5 6: ((4*(5-4))*6)=24
4 4 5 7: ((4-(5-7))*4)=24
4 4 5 8: ((4+(4-5))*8)=24
4 4 5 9: no answer!
4 4 5 10: ((4*(10-5))+4)=24
4 4 6 6: no answer!
4 4 6 7: no answer!
4 4 6 8: ((4-(6-8))*4)=24
4 4 6 9: ((4*(4/6))*9)=24
4 4 6 10: ((4+(4+6))+10)=24
4 4 7 7: ((4-(4/7))*7)=24
4 4 7 8: ((4+(4*7))-8)=24
4 4 7 9: ((4+(4+7))+9)=24
4 4 7 10: ((4+4)*(10-7))=24
4 4 8 8: ((4+(4+8))+8)=24
4 4 8 9: (((4*9)-4)-8)=24
4 4 8 10: ((4-(8-10))*4)=24
4 4 9 9: no answer!
4 4 9 10: no answer!
4 4 10 10: (((10*10)-4)/4)=24
4 5 5 5: ((4+(5*5))-5)=24
4 5 5 6: ((4+(5-5))*6)=24
4 5 5 7: ((7-(5/5))*4)=24
4 5 5 8: ((4-(5/5))*8)=24
4 5 5 9: ((5*(9-5))+4)=24
4 5 5 10: ((4+(5+5))+10)=24
4 5 6 6: ((4*(6-5))*6)=24
4 5 6 7: ((5-(6-7))*4)=24
4 5 6 8: ((4+(5-6))*8)=24
4 5 6 9: ((4+(5+6))+9)=24
4 5 6 10: ((4+(5*6))-10)=24
4 5 7 7: ((5+(7/7))*4)=24
4 5 7 8: ((4+(5+7))+8)=24
4 5 7 9: ((5+(4*7))-9)=24
4 5 7 10: ((10*(7-5))+4)=24
4 5 8 8: ((5-(8/4))*8)=24
4 5 8 9: ((4*(9-5))+8)=24
4 5 8 10: ((4-(8/5))*10)=24
4 5 9 9: ((5+(9/9))*4)=24
4 5 9 10: ((5-(9-10))*4)=24
4 5 10 10: ((5+(10/10))*4)=24
4 6 6 6: ((4+(6-6))*6)=24
4 6 6 7: ((4*(7-6))*6)=24
4 6 6 8: ((4+(6+6))+8)=24
4 6 6 9: ((6*(9-4))-6)=24
4 6 6 10: ((6*(6+10))/4)=24
4 6 7 7: ((4+(6+7))+7)=24
4 6 7 8: ((4+(6-7))*8)=24
4 6 7 9: ((6*(7+9))/4)=24
4 6 7 10: ((6+(4*7))-10)=24
4 6 8 8: ((4*(6*8))/8)=24
4 6 8 9: ((4-(8/6))*9)=24
4 6 8 10: ((4*(10-6))+8)=24
4 6 9 9: ((4*(6*9))/9)=24
4 6 9 10: ((4*(10-9))*6)=24
4 6 10 10: ((4*(6*10))/10)=24
4 7 7 7: ((7-(7/7))*4)=24
4 7 7 8: ((4-(7/7))*8)=24
4 7 7 9: no answer!
4 7 7 10: no answer!
4 7 8 8: ((4+(7-8))*8)=24
4 7 8 9: ((7+(8-9))*4)=24
4 7 8 10: ((7/(4/8))+10)=24
4 7 9 9: ((7-(9/9))*4)=24
4 7 9 10: ((7+(9-10))*4)=24
4 7 10 10: ((7-(10/10))*4)=24
4 8 8 8: ((4-(8/8))*8)=24
4 8 8 9: ((4+(8-9))*8)=24
4 8 8 10: ((8+(8-10))*4)=24
4 8 9 9: ((4-(9/9))*8)=24
4 8 9 10: ((4+(9-10))*8)=24
4 8 10 10: ((4-(10/10))*8)=24
4 9 9 9: no answer!
4 9 9 10: ((9-(4-9))+10)=24
4 9 10 10: no answer!
4 10 10 10: no answer!
5 5 5 5: ((5*5)-(5/5))=24
5 5 5 6: ((5+(5*5))-6)=24
5 5 5 7: no answer!
5 5 5 8: no answer!
5 5 5 9: ((5+(5+5))+9)=24
5 5 5 10: no answer!
5 5 6 6: ((5+(5-6))*6)=24
5 5 6 7: ((6+(5*5))-7)=24
5 5 6 8: ((5+(5+6))+8)=24
5 5 6 9: no answer!
5 5 6 10: no answer!
5 5 7 7: ((5+(5+7))+7)=24
5 5 7 8: ((5+(5-7))*8)=24
5 5 7 9: no answer!
5 5 7 10: ((10*(5+7))/5)=24
5 5 8 8: ((5*5)-(8/8))=24
5 5 8 9: ((5*(8-5))+9)=24
5 5 8 10: ((5-(10/5))*8)=24
5 5 9 9: ((5*5)-(9/9))=24
5 5 9 10: ((9+(5*5))-10)=24
5 5 10 10: ((5*5)-(10/10))=24
5 6 6 6: ((5-(6/6))*6)=24
5 6 6 7: ((5+(6+6))+7)=24
5 6 6 8: ((6*(8-5))+6)=24
5 6 6 9: ((6*9)-(5*6))=24
5 6 6 10: ((6*(10-5))-6)=24
5 6 7 7: ((5-(7/7))*6)=24
5 6 7 8: ((5+(7-8))*6)=24
5 6 7 9: ((9*(7-5))+6)=24
5 6 7 10: no answer!
5 6 8 8: ((5+(6-8))*8)=24
5 6 8 9: ((5+(8-9))*6)=24
5 6 8 10: ((5*(6*8))/10)=24
5 6 9 9: ((5*(9-6))+9)=24
5 6 9 10: ((5+(9-10))*6)=24
5 6 10 10: ((5-(10/10))*6)=24
5 7 7 7: no answer!
5 7 7 8: no answer!
5 7 7 9: ((5+7)*(9-7))=24
5 7 7 10: ((7*(7-5))+10)=24
5 7 8 8: ((8*(7-5))+8)=24
5 7 8 9: ((5+(7-9))*8)=24
5 7 8 10: ((5+7)*(10-8))=24
5 7 9 9: no answer!
5 7 9 10: ((5*(10-7))+9)=24
5 7 10 10: ((7/(5/10))+10)=24
5 8 8 8: (((5*8)-8)-8)=24
5 8 8 9: ((8/(8-5))*9)=24
5 8 8 10: ((5+(8-10))*8)=24
5 8 9 9: no answer!
5 8 9 10: no answer!
5 8 10 10: no answer!
5 9 9 9: no answer!
5 9 9 10: no answer!
5 9 10 10: ((9-(5-10))+10)=24
5 10 10 10: no answer!
6 6 6 6: ((6+(6+6))+6)=24
6 6 6 7: no answer!
6 6 6 8: ((6+(6-8))*6)=24
6 6 6 9: ((6*(6*6))/9)=24
6 6 6 10: ((6*10)-(6*6))=24
6 6 7 7: no answer!
6 6 7 8: no answer!
6 6 7 9: ((6+(7-9))*6)=24
6 6 7 10: ((6*(10-7))+6)=24
6 6 8 8: ((6/(8-6))*8)=24
6 6 8 9: ((6+(6-9))*8)=24
6 6 8 10: ((6+(8-10))*6)=24
6 6 9 9: no answer!
6 6 9 10: ((9*(6+10))/6)=24
6 6 10 10: no answer!
6 7 7 7: no answer!
6 7 7 8: no answer!
6 7 7 9: no answer!
6 7 7 10: ((7+(7-10))*6)=24
6 7 8 8: no answer!
6 7 8 9: ((6/(9-7))*8)=24
6 7 8 10: ((6+(7-10))*8)=24
6 7 9 9: ((9*(7+9))/6)=24
6 7 9 10: no answer!
6 7 10 10: ((10*(10-7))-6)=24
6 8 8 8: ((8*(8-6))+8)=24
6 8 8 9: ((9*(8+8))/6)=24
6 8 8 10: ((6/(10-8))*8)=24
6 8 9 9: ((8/(9-6))*9)=24
6 8 9 10: ((9*(10-8))+6)=24
6 8 10 10: no answer!
6 9 9 9: no answer!
6 9 9 10: ((9/(6/10))+9)=24
6 9 10 10: no answer!
6 10 10 10: ((10-(6-10))+10)=24
7 7 7 7: no answer!
7 7 7 8: no answer!
7 7 7 9: no answer!
7 7 7 10: no answer!
7 7 8 8: no answer!
7 7 8 9: no answer!
7 7 8 10: no answer!
7 7 9 9: no answer!
7 7 9 10: ((7*(9-7))+10)=24
7 7 10 10: no answer!
7 8 8 8: no answer!
7 8 8 9: ((8*(9-7))+8)=24
7 8 8 10: ((8*10)-(7*8))=24
7 8 9 9: no answer!
7 8 9 10: ((8/(10-7))*9)=24
7 8 10 10: ((7*(10-8))+10)=24
7 9 9 9: no answer!
7 9 9 10: no answer!
7 9 10 10: no answer!
7 10 10 10: no answer!
8 8 8 8: no answer!
8 8 8 9: no answer!
8 8 8 10: ((8*(10-8))+8)=24
8 8 9 9: no answer!
8 8 9 10: no answer!
8 8 10 10: no answer!
8 9 9 9: no answer!
8 9 9 10: no answer!
8 9 10 10: no answer!
8 10 10 10: no answer!
9 9 9 9: no answer!
9 9 9 10: no answer!
9 9 10 10: no answer!
9 10 10 10: no answer!
10 10 10 10: no answer!
代碼參見：
http://www.zhihu.com/question/23831002/answer/25798958
純吐槽……
四個0的那位同學……你忘記萬能公式了嗎……
(((a)")!+((b)")!+((c)")!+((d)")!)!=24
用撲克牌的話數字是從1~13吧，對應的A至K，你玩過的話就知道不可能任何數字都能算出24的
大體上就是簡單的先找3*8和4*6的組合，而後是12*2，之後就是各種加法11+13，16+8，18+6，20+4等比較多，猥瑣的就是72（8*9）-48（6*8或12*4）=24了
4個0得到24，我是來搞笑的:)
( 0! + 0! + 0! + 0! )! = 24
00:00 = 24
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