A quorum (minimum) of 9 voting members is required at all meetings of some association. If there is a total of 15 voting members in the group, find the number of ways this quorum can be formed.
A) 5,005
B) 5,012
C) 5,017
D) 5,020
E) 5,008

Question

A quorum (minimum) of 9 voting members is required at all meetings of some association. If there is a total of 15 voting members in the group, find the number of ways this quorum can be formed. ​
A) 5,005
B) 5,012
C) 5,017
D) 5,020
E) 5,008

Quizplus · Accepted Answer

The number of ways to form a quorum of 9 members out of 15 is calculated using combinations (since the order in which the members are chosen does not matter). This is given by the binomial coefficient formula: C(n, k) = n! / [k!(n-k)!], where n is the total number of items (in this case, 15 members), and k is the number of items to choose (in this case, 9 members). So, C(15, 9) = 15! / [9!(15-9)!] = 15! / (9!6!) = 5,005.

A Quorum (Minimum) of 9 Voting Members Is Required at All