+3 votes
in Class 11 by kratos

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

1 Answer

+4 votes
by kratos
 
Best answer

From a deck 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.

In a deck of 52 cards, there are 4 kings.

1 king can be selected out of 4 kings in 4C1 ways.

4 cards out of the remaining 48 cards can be selected in 48C4 ways.

Thus, the required number of 5-card combinations is 4C1 x 48C4

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