Permutation and Combination

guest17

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Mar 24, 2012
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Bridge is a card game that deals players 13 card hands. How many bridge hands contain exactly 5 spades?

I got (4C1)x (13C5) but it's not the correct answer.. help!
 
Bridge is a card game that deals players 13 card hands. How many bridge hands contain exactly 5 spades?

I got (4C1)x (13C5) but it's not the correct answer.. help!

Thanks, PKA. I was thinking 5-card poker hands, not a bridge hand obviously!
 
Last edited:
Bridge is a card game that deals players 13 card hands. How many bridge hands contain exactly 5 spades?.. help!
There are thirteen spades and thirty-nine non-spades. 13-5=8
Now what is your answer?
 
Hello, guest17!

Bridge is a card game that deals players 13-card hands.
How many bridge hands contain exactly 5 Spades?

I got (4C1) x (13C5) but it's not the correct answer. . Of course not!

You changed the game to Poker (5-card hands).
And you've answered the question:
. . "How many Flushes are there?"


The deck contains 13 Spades and 39 Others.
We want 5 Spades and 8 Others.

There are: .(13C5)(39C8) hands with exactly 5 Spades.
 
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