How many committed of size 15, from a group of 20 men and 30 women, contain both genders?

what I find difficult is the difference of numbers within the gender where if it were just 50 people taken 15 at a time id have no problem.

thanks :)

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- Dec 24th 2012, 08:26 AMlhurlbertCombinations of"" problem
How many committed of size 15, from a group of 20 men and 30 women, contain both genders?

what I find difficult is the difference of numbers within the gender where if it were just 50 people taken 15 at a time id have no problem.

thanks :) - Dec 24th 2012, 09:04 AMPlatoRe: Combinations of"" problem
- Dec 24th 2012, 10:06 AMlhurlbertRe: Combinations of"" problem
And that's combination? I haven't seen that notation () yet

- Dec 24th 2012, 10:31 AMSorobanRe: Combinations of"" problem
Hello, lhurlbert!

Quote:

And that's combination?

I haven't seen that notation () yet.

Yes, that is an alternative symbol for combinations.

. . $\displaystyle {50\choose15} \;=\;_{50}C_{15} \;=\;\frac{50!}{15!\,35!} $