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13 13

# of Poker hands with 3 clubs & 2 heards = ( ) ( )

3 2

= (13!)( 13!) / (10!*3!*11!*2)

= (13!)( 13!) / (10!*11!*12)

= (13!)( 13!) / (10!*12!)

= 13 * 13* 12 * 11

= 22308 #

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Q: How many poker hands with 5 cards contain 3 clubs and two hearts?
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