Combinatorics:
In how many variations can you create a team of 7 people from the following groups:
A: 6 People
B: 5 People
C: 4 People
D: 3 People
E: 2 People
When the team has at least 3 people from group B.

Question

Combinatorics:
In how many variations can you create a team of 7 people from the following groups:
A: 6 People
B: 5 People
C: 4 People
D: 3 People
E: 2 People
When the team has at least 3 people from group B.

anonymous · Answer

Would this be correct?:$$\left(\begin{matrix}5 \ 3\end{matrix}\right)\times \left(\begin{matrix}17 \ 4\end{matrix}\right)=23800$$

dangerousjesse · Answer

Yes, that looks right to me.

anonymous · Answer

Right, and what about when 4 are taken from B, and 5 people from B?

anonymous · Answer

Oh hold on, I though it said $\dbinom{10}4$... Never mind!

anonymous · Answer

I think they're taken into account in the "17 above 4", since they asked for at least 3.
I'm not 100% sure you have to include these as well.

anonymous · Answer

No you're right, I misread your computation.

anonymous · Answer

Thank you both for the confirmations.