SOLUTION: how many different 5 card hands can be drawn from a standard deck of 52 cards
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Question 261868: how many different 5 card hands can be drawn from a standard deck of 52 cards
Found 2 solutions by drk, solver91311:
Answer by drk(1908) (Show Source): You can put this solution on YOUR website!
SInce there are no restrictions, we have
(52c5) = 2598960
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
You need the number of ways to select 5 things from 52 things. The number of ways to select 
things from 
things is given by:
\ =\ \frac{n!}{r!\left(n\,-\,r\right)!})
For this problem you want:
\ =\ \frac{52!}{5!\left(52\,-\,5\right)!}\ =\ \frac{52\,\cdot\,51\,\cdot\,50\,\cdot\,49\,\cdot\,48}{120}\ =\ 13\,\cdot\,17\,\cdot\,10\,\cdot\,49\,\cdot\,24)
Looks like you have a bit of calculator work to do.
John
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