WOLFRAM|DEMONSTRATIONS PROJECT

Calculating 24

​
a
3
♡
b
3
♢
c
7
♣
d
7
♠
7
♣
3
♢
+
3
♡
7
♠
=
24
The rule is simple: pick any four cards and try to get a result of 24 from the numbers on the cards, using only the four basic arithmetic operations: addition (+), subtraction (-), multiplication (*), and division (/).
Jack (J), Queen (Q), King (K), and Ace (A) represent 11, 12, 13, and 1 respectively.
For example, given numbers 2, 3, 5 and 8, we can get such an expression:
8+2×(3+5)=24
.
This Demonstration tries to find all distinct answers for four given cards.