Abusiness organization needs to make up a 5 member fund-raising committee. the organization has 10 accounting majors and 8 finance majors. in how many ways can the fund-raising committee be formed if at most 2 accounting majors are on the committee?

The fund raising committee can be organized in 3,276 different ways.

Explanation:

The committee can have the following structures:

Accounting majors            Finance majors

        0                                          5

        1                                           4

        2                                          3

C(10,0) x C(8,5) = (10! / 10!) x (8! / 3!5!) = 1 x 56 = 56

C(10,1) x C(8,4) = (10! / 9!1!) x (8! / 4!4!) = 10 x 70 = 700

C(10,2) x C(8,3) = (10! / 8!2!) x (8! / 5!3!) = 45 x 56 = 2,520

total possibilities = 2,520 + 700 + 56 = 3,276

forbearance of student loan payments. under forbearance, your loan payments are postponed (or reduced) but interest continues to accrue during the period of forbearance. if you don't pay the interest during that period, the interest may be “capitalized,” which means it is added to your principal balance.