Question

Determine the number of 5 card combinations out of a deck of 52 cards if there is exactly one ace in each combination.

Answer 1

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 4C1 ways and the remaining 4 cards can be selected out of the 48 cards in 48C4 ways.

Thus, by multiplication principle, required number of 5 card combinations