Acommittee consisting of
4
faculty members and
5
students is to be formed. every committee position has the same duties and voting rights. there are
12
faculty members and
15
students eligible to serve on the committee. in how many ways can the committee be formed?

Step-by-step explanation:

These are independent non-ordered events. The faculty members chosen don't affect the students and vice versa. There is no issue with replacement, and the only limitation is the number of people allowed to serve.

12C4*15C5

495*3003=1,486,485 ways

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example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.