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fosmanali01 fosmanali01
wrote...
Posts: 78
9 years ago
A hand of 5 cards is dealt from a standard deck of 52 cards. the number of ways that the hand can be made of 2 kings , 2 queens and 1 ace is

A. 576

B. 4

C. 144

D. 792
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Replies
wrote...
Valued Member
On Hiatus
9 years ago
Hi, does the order of the cards count? If not:

The number of diferent combnations of 2 kings are 3+2+1=6 (heart-club, heart-diamond, heart-spade, club-diamond, club-spade, diamond-spade)
The number of different combinations of 2 queens is also 6.
The number of different combinations of 1 ace is 4.

The number of different combinations of 2 kings, 2 queens and 1 ace is 6*6*4=144

(If the order counts the number is much greater, around 9216 if I calculated right, so it can't be.)
fosmanali01 Author
wrote...
9 years ago
Thank you!
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