SOLUTION: This question deals with a 52 card deck. There are 2 cards of one denomination and 1 card of another denomination. How do you solve this using combination method?

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Question 345380: This question deals with a 52 card deck. There are 2 cards of one denomination and 1 card of another denomination. How do you solve this using combination method?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
This question deals with a 52 card deck.
There are 2 cards of one denomination and 1 card of another denomination.
How do you solve this using combination method?
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Pick a denomination: 4 ways
Pick 2 cards of that denomination: 13C2 ways
Pick another denomination: 3 ways
Pick one card of that denomination: 13C1
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# of ways to succeed in doing what was described:
4*78*3*13 = 12,168
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# of ways to pick 3 cards randomly: 52C3
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Probability of performing the pattern described: 12,168/52C3 = 0.5506
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Cheers,
Stan H.