#1
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Finding amount of different 5 card hands
This was a question tonight in a team trivia game, the maximum amount of different 5 card hands.
I was fairly frustrated that I did not come up with the answer, as my method of solving was 52*51*50*49*48. This turned out to be very wrong. The answer ended up being something around 2.6 million. How is this mathematically solved? Basic stuff, probably. Thanks in advance. |
#2
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Re: Finding amount of different 5 card hands
You were on the right track.
It's the same 5-card hand no matter which order you are dealt the five cards. So, 52*51*50*49*48 / (5*4*3*2*1), which is, indeed, just under 2.6 million. |
#3
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Re: Finding amount of different 5 card hands
Its call the Binomial Coefficients:
n choose x = n! / ((n - x)! * x!) Where n = 52 cards and x = 5 card hands Here is a link to Binomial Coefficients Hope that gives you the overview. -Gryph |
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