# Math Help - Permutations/Combinations

1. ## Permutations/Combinations

Hi all -
I'm stuck on the following word problem. I've tried using the permutation formula then the combination formula and I'm not even getting close to any of the answer choices. The word problem is as follows:

A business organization needs to make up a 7 member fund-raising committee. The organization has 6 accounting majors and 8 finance majors. In how many ways can the fund-raising committee be formed if at least 4 accounting majors are on the committee?

a) 21

b) 840

c) 22

d) 176

e) 1,016

I think it may involve both a combo and a permutation but I'm not even sure what numbers to use for which...any thoughts? Any input would be very much appreciated Thank you so much!

2. $\sum\limits_{k = 4}^6 {6 \choose k}{8 \choose {7-k}}$