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Mathematics 8 Online
OpenStudy (anonymous):

im stressed and behind can someone help? Five cards are chosen from a standard deck of 52 cards. how many five-card combinations contain two jacks and three aces?

OpenStudy (blockcolder):

\[\binom{4}{2}\cdot \binom{4}{3}\] The first one is the number of ways there can be 2 jacks among the 5 cards and the second one is the number of ways there can be 3 aces.

OpenStudy (anonymous):

but there are 5 cards would not it be 5 choose 2 times 5chose 3?

OpenStudy (blockcolder):

But there are only 4 jacks and 4 aces in a deck of cards.

OpenStudy (anonymous):

oo i didnt know that thank u then i understand it now :)

OpenStudy (blockcolder):

No problem. :D

OpenStudy (anonymous):

so then it would be 24 right?

OpenStudy (blockcolder):

Yes. :D

OpenStudy (anonymous):

thanx

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