Question

How many different four person committees can be formed from a group of six boys and four girls?

Answer 1

the answer is 10

Answer 2

Thank you!

Answer 3

the answer is most assuredly not ten

Answer 4

But is it mentioned that we'll have 2 boys and 2 girls?

Answer 5

It'd be 10c4 according to me.

Answer 6

\(\Large \color{Black}{\Rightarrow _{10}C_{4} = {10! \over (10 - 4)! \times 4!} }\)

Answer 7

and my answer is also wrong, because i thought it was two boys and two girls.
wrongo
answer is
\[\dbinom{10}{4}=\frac{10\times 9\times 8\times 7}{4\times 3\times 2}=10\times 3\times 7\]

Answer 8

Thank you satellite!