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How do you calculate combinations of 10 numbers?

1 Answer

Nov 27, 2014

If #r# numbers are chosen, then the number of all combinations can be found by

#C(10,r)={P(10,r)}/{r!}={10 cdot 9 cdot cdots cdot (10-r+1)}/{r!}#

Example

If #r=3#, then

#C(10,3)={10 cdot 9 cdot 8}/{3 cdot 2 cdot 1}=120# combinations

I hope that this was helpful.

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