A poker hand consists of 5 cards drawn from a deck of 52 pla

A poker hand consists of 5 cards drawn from a deck of 52 playing cards. The hand is said to be \"four of a kind\" if four of the cards have the same face value. For example, hands with four 10\'s or four jacks or four 2\'s are four-of-a-kind hands. How many such hands are possible?

Solution

There are 13 different possible ranks of the 4 of a kind. The fifth card can be out of the remaining 48. Thus there are 13 * 48 = 624 different four of a kinds.

there are 624 such hands possible