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 four aces. A combination of 5 have to be made in which there is exactly one ace.
Then, one ace can be selected in 4C1 ways, the remaining 4 cards can be selected oout of 42 cards in 48C4 ways.
By Multiplication principle
Required number of ways = 4C1×48C4=778320