Determine the number of 5 card combinations out of a deck of 52 cards if there is exactly one ace in each combination.
In a deck of 52 cards, there are 4 aces. A combination of 5 cards have to be made in which there is exactly one ace.
Then, one
ace can be selected in
ways
and the remaining 4 cards can be selected out of the 48 cards in
ways.
Thus, by
multiplication principle, required number of 5 card combinations