## anonymous 4 years ago How many different four person committees can be formed from a group of six boys and four girls?

1. anonymous

2. anonymous

Thank you!

3. anonymous

the answer is most assuredly not ten

4. ParthKohli

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

5. ParthKohli

It'd be 10c4 according to me.

6. ParthKohli

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

7. anonymous

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

8. ParthKohli

Thank you satellite!