Q.8.    Determine the number of 5-card combinations out of a deck of 52 cards if each
           selection of 5 cards has exactly one king.

Answers (1)
S seema garhwal

From a deck of 52 cards, 5 cards combinations have to be made in such a way that in each selection of 5 cards there is exactly 1 king.

Number of kings =4 

Number of ways of selecting 1 king =^4C_1

4 cards from the remaining 48 cards are selected in ^4^8C_4 ways.

Thus, the required number of 5 card combinations =^4C_1 .^4^8C_4