Determine the number of 5-card combinations out of a deck of 52 cards if each selection of 5 cards has exactly one king.
A deck of cards has 4 kings.
The numbers of remaining cards are 52.
Ways of selecting a king from the deck = 4C1
Ways of selecting the remaining 4 cards from 48 cards= 48C4
Total number of selecting the 5 cards having one king always
= 4C1 × 48C4
9