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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.



Your Answer
A

778240

Your Answer
B

778250

Correct Answer
C

778320

Your Answer
D

778330


Solution

The correct option is D

778320


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

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