## GabrielleTinnirello Group Title How many different four person committees can be formed from a group of six boys and four girls? 2 years ago 2 years ago

1. hreeg97 Group Title

2. GabrielleTinnirello Group Title

Thank you!

3. satellite73 Group Title

the answer is most assuredly not ten

4. ParthKohli Group Title

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

5. ParthKohli Group Title

It'd be 10c4 according to me.

6. ParthKohli Group Title

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

7. satellite73 Group Title

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 Group Title

Thank you satellite!