Question 9
Four poker cards are randomly drawn from a deck. The goal is to combine the values of these cards by using the four arithmetic operators ($+$, $-$, $\times$ and $\div$) to obtain 24. It is assumed that A, J, Q and K have the values of 1, 11, 12 and 13, respectively. For example, if the four cards are shown below, one way to get 24 is $12\div(13-11)\times4=24$.

Now, there are five piles of cards, where four cards are in each pile:

For how many of these piles can get 24 by using the conditions stated above?

Now, there are five piles of cards, where four cards are in each pile:

For how many of these piles can get 24 by using the conditions stated above?