A business organization needs to make up a 7 member fundrais

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

a) 525

b) 21

c) 22

d) 658

e) 133

f) None of the above.

Solution

No. of ways of forming a committee = ⁶C₄*⁷C₃ + ⁶C₅*⁷C₂ + ⁶C₆*⁷C₁ = 658