Determine the number of 5-card combinations o | vedclass

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(A) In a deck of $52$ cards,there are $4$ kings and $48$ non-king cards.We need to select $5$ cards such that exactly one is a king.First,select $1$ k

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$^{4}C_{1} 	imes ^{48}C_{4}$

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(A) In a deck of $52$ cards,there are $4$ kings and $48$ non-king cards.We need to select $5$ cards such that exactly one is a king.First,select $1$ king from the $4$ available kings,which can be done in $^{4}C_{1}$ ways.Next,select the remaining $4$ cards from the $48$ non-king cards,which can be done in $^{48}C_{4}$ ways.By the fundamental principle of counting,the total number of combinations is $^{4}C_{1} 	imes ^{48}C_{4}$.

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

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