Determine the number of 5-card combinations out of a deck of 52 cards if each selection of 5 cards has exactly one king.

Asked by Abhisek | 1 year ago |  206

##### Solution :-

Out of 52 cards, 5-card combinations have to be made in such a way that in

each selection of 5 cards, there is exactly one king. We know that in 52 cards, there are 4 kings.

Out of 4 kings, 1 king can be selected in $$^4C_1$$ ways.

Out of the remaining 48 cards, 4 cards can be selected in $$^{48}C_4$$ ways

Therefore, number of 5-card combinations = $$^4C_1\times ^{48}C_4$$ ways.

Answered by Pragya Singh | 1 year ago

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