SOLUTION: This exercise refers to a standard deck of playing cards. Assume that 5 cards are randomly chosen from the deck. How many hands contain 4 queens?

Algebra ->  Permutations -> SOLUTION: This exercise refers to a standard deck of playing cards. Assume that 5 cards are randomly chosen from the deck. How many hands contain 4 queens?      Log On


   

Question 1185836: This exercise refers to a standard deck of playing cards. Assume that 5 cards are randomly chosen from the deck.
How many hands contain 4 queens?
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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There are exactly  4  (four)  queens in a standard deck.

So we consider quintuples of cards  (the sets consisting of  5  cards)  that have  4  queens.

All such quintuples are obtained by adding one / (any) of  48  non-queens cards to the group of  4  queens cards.

So, the number of such quintuples is exactly  48,  the number of non-queens in the standard deck of cards.             ANSWER


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Solved and thoroughly explained.