Question

A committee will be formed with 2 managers and 4 engineers selected randomly from a pool of candidates. In how many ways can the committee be formed?

A) 15 ways
B) 48 ways
C) 120 ways
D) 720 ways

Answer 1

The committee can be formed in 1 way.

Step-by-step explanation:

To calculate the number of ways the committee can be formed, we use the concept of combinations. In this case, we want to select 2 managers from a pool of candidates and 4 engineers from the same pool. The number of ways to select k items out of a pool of n items is given by the combination formula: C(n, k) = n! / (k! * (n-k)!).

Using this formula, we can calculate the number of ways to select 2 managers from the pool of candidates: C(2, 2) = 2! / (2! * (2-2)!) = 1.

Similarly, we can calculate the number of ways to select 4 engineers: C(4, 4) = 4! / (4! * (4-4)!) = 1.

To find the total number of ways the committee can be formed, we multiply the number of ways to select the managers and the number of ways to select the engineers: 1 * 1 = 1.