SOLUTION: Determine how many ways you could be dealt a hand of 5 cards with each of the following outcomes. a.) A flush in Hearts. b.) Three Jacks and two Sevens.

Algebra ->  Permutations -> SOLUTION: Determine how many ways you could be dealt a hand of 5 cards with each of the following outcomes. a.) A flush in Hearts. b.) Three Jacks and two Sevens.      Log On


   

Question 429170: Determine how many ways you could be dealt a hand of 5 cards with each of the following outcomes.
a.) A flush in Hearts.

b.) Three Jacks and two Sevens.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Determine how many ways you could be dealt a hand of 5 cards with each of the following outcomes.
a.) A flush in Hearts.
Pick a suit: 4 ways
Pick 5 of that suit: 13C4
# of flushes: 4* 13C4 = 2860
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b.) Three Jacks and two Sevens.
Pick a suit: 4 ways
Pick 3 Jacks: 4C3 = 4 ways
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Pick a suit: 4 ways
Pick 2 Sevens: 4C2 = 6 ways
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# of hands meeting condition:
4*4*4*6 = 384
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Cheers,
Stan H.