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 \"three of a kind\" if three cards of the same face value and two cards are not of this face value nor the same as each other. For example, three 10\'s, one 2, and one 3 form a three of a kind. How many such hands are possible?

Solution

There are 52 playing cards

3 cards of the same value, and 2 each different

There are 4 cards of same value for A.2.3.....K

Hence for the required combination we have

4C3(48)(47)

= 9024