23 โจทย์ที่มีเพียง 1 หรือ 2 คำตอบ

[1, 1, 1, 8]
    1. (((1+1)+1))*8 = 24
    2. 8*(1+(1+1)) = 24

[1, 2, 7, 7]
    1. (((7*7)-1))/2 = 24

[1, 3, 4, 6]
    1. 6/(1-(3/4)) = 24

[1, 4, 5, 6]
    1. 4/(1-(5/6)) = 24
    2. 6/(1-(5/4)) = 24

[1, 5, 5, 5]
    1. (((1/5)-5))*5 = 24
    2. 5*(5-(1/5)) = 24

[1, 6, 6, 8]
    1. 6/(1-(6/8)) = 24

[2, 5, 5, 8]
    1. (((5/5)+2))*8 = 24
    2. 8*(2+(5/5)) = 24

[3, 3, 3, 3]
    1. -(3-(3*(3*3))) = 24
    2. (((3*3)*3))-3 = 24

[3, 3, 3, 9]
    1. (((3/3)-9))*3 = 24
    2. 3*(9-(3/3)) = 24

[3, 3, 5, 5]
    1. (3/3)-(5*5) = 24
    2. (5*5)-(3/3) = 24

[3, 3, 6, 6]
    1. 3*(6+(6/3)) = 24
    2. (((6/3)+6))*3 = 24

[3, 3, 7, 7]
    1. (((3/7)+3))*7 = 24
    2. 7*(3+(3/7)) = 24

[3, 3, 8, 8]
    1. 8/(3-(8/3)) = 24

[4, 4, 4, 5]
    1. ((4/4)+5)*4 = 24
    2. 4*(5+(4/4)) = 24

[4, 4, 7, 7]
    1. -(((4/7)-4)*7) = 24
    2. 7*(4-(4/7)) = 24

[4, 5, 5, 7]
    1. 4*(7-(5/5)) = 24
    2. -(((5/5)-7)*4) = 24

[4, 5, 5, 8]
    1. -(((5/5)-4)*8) = 24
    2. 8*(4-(5/5)) = 24

[4, 5, 9, 9]
    1. 4*(5+(9/9)) = 24
    2. ((9/9)+5)*4 = 24

[4, 7, 7, 7]
    1. 4*(7-(7/7)) = 24
    2. -(((7/7)-7)*4) = 24

[5, 5, 8, 8]
    1. (5*5)-(8/8) = 24
    2. -((8/8)-(5*5)) = 24

[5, 5, 9, 9]
    1. (5*5)-(9/9) = 24
    2. -((9/9)-(5*5)) = 24

[5, 6, 6, 6]
    1. 6*(5-(6/6)) = 24
    2. -(((6/6)-5)*6) = 24

[5, 6, 7, 7]
    1. 6*(5-(7/7)) = 24
    2. -((((7/7)-5))*6) = 24

249 โจทย์ที่ไม่มีคำตอบ 24

[0, 0, 0, 0]
[0, 0, 0, 1]
[0, 0, 0, 2]
[0, 0, 0, 3]
[0, 0, 0, 4]
[0, 0, 0, 5]
[0, 0, 0, 6]
[0, 0, 0, 7]
[0, 0, 0, 8]
[0, 0, 0, 9]
[0, 0, 1, 1]
[0, 0, 1, 2]
[0, 0, 1, 3]
[0, 0, 1, 4]
[0, 0, 1, 5]
[0, 0, 1, 6]
[0, 0, 1, 7]
[0, 0, 1, 8]
[0, 0, 1, 9]
[0, 0, 2, 2]
[0, 0, 2, 3]
[0, 0, 2, 4]
[0, 0, 2, 5]
[0, 0, 2, 6]
[0, 0, 2, 7]
[0, 0, 2, 8]
[0, 0, 2, 9]
[0, 0, 3, 3]
[0, 0, 3, 4]
[0, 0, 3, 5]
[0, 0, 3, 6]
[0, 0, 3, 7]
[0, 0, 3, 9]
[0, 0, 4, 4]
[0, 0, 4, 5]
[0, 0, 4, 7]
[0, 0, 4, 8]
[0, 0, 4, 9]
[0, 0, 5, 5]
[0, 0, 5, 6]
[0, 0, 5, 7]
[0, 0, 5, 8]
[0, 0, 5, 9]
[0, 0, 6, 6]
[0, 0, 6, 7]
[0, 0, 6, 8]
[0, 0, 6, 9]
[0, 0, 7, 7]
[0, 0, 7, 8]
[0, 0, 7, 9]
[0, 0, 8, 8]
[0, 0, 8, 9]
[0, 0, 9, 9]
[0, 1, 1, 1]
[0, 1, 1, 2]
[0, 1, 1, 3]
[0, 1, 1, 4]
[0, 1, 1, 5]
[0, 1, 1, 6]
[0, 1, 1, 7]
[0, 1, 1, 8]
[0, 1, 1, 9]
[0, 1, 2, 2]
[0, 1, 2, 3]
[0, 1, 2, 4]
[0, 1, 2, 5]
[0, 1, 2, 6]
[0, 1, 2, 7]
[0, 1, 2, 9]
[0, 1, 3, 3]
[0, 1, 3, 4]
[0, 1, 3, 5]
[0, 1, 4, 4]
[0, 1, 4, 9]
[0, 1, 5, 7]
[0, 1, 5, 8]
[0, 1, 5, 9]
[0, 1, 6, 6]
[0, 1, 6, 7]
[0, 1, 6, 8]
[0, 1, 6, 9]
[0, 1, 7, 7]
[0, 1, 7, 8]
[0, 1, 7, 9]
[0, 1, 8, 8]
[0, 1, 8, 9]
[0, 1, 9, 9]
[0, 2, 2, 2]
[0, 2, 2, 3]
[0, 2, 2, 4]
[0, 2, 2, 5]
[0, 2, 2, 7]
[0, 2, 2, 8]
[0, 2, 2, 9]
[0, 2, 3, 3]
[0, 2, 3, 5]
[0, 2, 3, 7]
[0, 2, 4, 5]
[0, 2, 4, 7]
[0, 2, 4, 9]
[0, 2, 5, 5]
[0, 2, 5, 6]
[0, 2, 5, 9]
[0, 2, 6, 7]
[0, 2, 7, 7]
[0, 2, 7, 8]
[0, 2, 7, 9]
[0, 2, 8, 9]
[0, 2, 9, 9]
[0, 3, 3, 3]
[0, 3, 3, 6]
[0, 3, 4, 5]
[0, 3, 4, 7]
[0, 3, 5, 5]
[0, 3, 5, 6]
[0, 3, 5, 7]
[0, 3, 6, 9]
[0, 3, 7, 7]
[0, 3, 7, 9]
[0, 3, 9, 9]
[0, 4, 4, 4]
[0, 4, 4, 9]
[0, 4, 5, 5]
[0, 4, 5, 7]
[0, 4, 5, 8]
[0, 4, 5, 9]
[0, 4, 7, 7]
[0, 4, 7, 9]
[0, 4, 8, 9]
[0, 4, 9, 9]
[0, 5, 5, 5]
[0, 5, 5, 6]
[0, 5, 5, 7]
[0, 5, 5, 8]
[0, 5, 5, 9]
[0, 5, 6, 7]
[0, 5, 6, 8]
[0, 5, 7, 7]
[0, 5, 7, 8]
[0, 5, 7, 9]
[0, 5, 8, 9]
[0, 5, 9, 9]
[0, 6, 6, 6]
[0, 6, 6, 7]
[0, 6, 6, 8]
[0, 6, 6, 9]
[0, 6, 7, 7]
[0, 6, 7, 8]
[0, 6, 7, 9]
[0, 6, 8, 8]
[0, 7, 7, 7]
[0, 7, 7, 8]
[0, 7, 7, 9]
[0, 7, 8, 8]
[0, 7, 9, 9]
[0, 8, 8, 9]
[0, 8, 9, 9]
[0, 9, 9, 9]
[1, 1, 1, 1]
[1, 1, 1, 2]
[1, 1, 1, 3]
[1, 1, 1, 4]
[1, 1, 1, 5]
[1, 1, 1, 6]
[1, 1, 1, 7]
[1, 1, 1, 9]
[1, 1, 2, 2]
[1, 1, 2, 3]
[1, 1, 2, 4]
[1, 1, 2, 5]
[1, 1, 3, 3]
[1, 1, 5, 9]
[1, 1, 6, 7]
[1, 1, 7, 7]
[1, 1, 7, 8]
[1, 1, 7, 9]
[1, 1, 8, 9]
[1, 1, 9, 9]
[1, 2, 2, 2]
[1, 2, 2, 3]
[1, 2, 9, 9]
[1, 3, 5, 5]
[1, 4, 9, 9]
[1, 5, 5, 7]
[1, 5, 5, 8]
[1, 5, 7, 7]
[1, 6, 6, 7]
[1, 6, 7, 7]
[1, 6, 7, 8]
[1, 7, 7, 7]
[1, 7, 7, 8]
[1, 8, 9, 9]
[1, 9, 9, 9]
[2, 2, 2, 2]
[2, 2, 2, 6]
[2, 2, 7, 9]
[2, 2, 9, 9]
[2, 3, 3, 4]
[2, 5, 5, 5]
[2, 5, 5, 6]
[2, 5, 9, 9]
[2, 6, 7, 7]
[2, 7, 7, 7]
[2, 7, 7, 9]
[2, 7, 9, 9]
[2, 9, 9, 9]
[3, 3, 5, 8]
[3, 4, 6, 7]
[3, 4, 8, 8]
[3, 5, 5, 5]
[3, 5, 7, 7]
[4, 4, 5, 9]
[4, 4, 6, 6]
[4, 4, 6, 7]
[4, 4, 9, 9]
[4, 7, 7, 9]
[4, 9, 9, 9]
[5, 5, 5, 7]
[5, 5, 5, 8]
[5, 5, 6, 9]
[5, 5, 7, 9]
[5, 7, 7, 7]
[5, 7, 7, 8]
[5, 7, 9, 9]
[5, 8, 9, 9]
[5, 9, 9, 9]
[6, 6, 6, 7]
[6, 6, 7, 7]
[6, 6, 7, 8]
[6, 6, 9, 9]
[6, 7, 7, 7]
[6, 7, 7, 8]
[6, 7, 7, 9]
[6, 7, 8, 8]
[6, 9, 9, 9]
[7, 7, 7, 7]
[7, 7, 7, 8]
[9, 9, 9, 9]

app เฉลยเกม 24 (ที่ไป)

เพื่อให้ทราบคำตอบของแต่ละโจทย์ อาจต้องมีการคิดทุกวิธีที่เป็นไปได้ 4608 วิธี
จึงได้พัฒนา android app เพื่อใช้ในการนี้

โดย app เฉลยเกม 24 จะมีข้อเสีย ดังนี้
1. หน้าตาไม่สวยงาม
2. คิดได้ช้า
3. มีค่าใช้จ่ายหากต้องการ license เพื่อป้อนโจทย์เองทั้ง 4 ช่อง

เมื่อหาดู app เกม 24 ใน google play จะพบ app ที่ดูดีกว่า, เร็วกว่าและฟรี มากมาย
แต่ app เฉลยเกม 24 จะคิด 4608 วิธีและแสดงคำตอบให้ทุกกรณี

License

เพื่อเปิดช่องตั้งโจทย์ครบ 4 ช่อง จำเป็นต้องมี license

     หากต้องการ license ส่ง email หา app.zndroid@gmail.com เพื่อขอทราบรายละเอียด
ระบุหัวข้อ <license>

ที่มา

เกม 24 เป็นเกมที่ใช้ตัวเลข 4 ตัว และ +-x/ เพื่อหาค่าให้ได้ 24
บางโจทย์มีคำตอบ
บางโจทย์ไม่มีคำตอบ

แจกแจงรูปแบบทั้งหมด ออกมาจะได้
ตัวเลข 4 ตัวสลับที่ได้ 4x3x2x1 = 24
+-x/ สลับที่ได้ 4x4x4x4 = 64
( ) จัดรูปแบบ (x1?x2)?(x3?x4), ((x1?x2)?x3)?x4, x1?(x2?(x3?x4))ได้ 3 รูบแบบ
รวมวิธีที่เป็นไปได้ 24 x 64 x3 = 4608