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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 -

Given a deck of 52cards

There are 4 Ace cardsin a deck of 52 cards.

According to question,we need to select 1 Ace card out the 4 Ace cards

 Number of waysto select 1 Ace from 4 Ace cards is 4C1

 More 4 cards areto be selected now from 48 cards (52 cards – 4 Ace cards)

 Number of waysto select 4 cards from 48 cards is 48C4

 Number of 5 cardcombinations out of a deck of 52 cards if there is exactly one ace in eachcombination 778320.

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