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

  • 16
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