Answer:
Total number of ways of making the core committee = 3150
Explanation:
Complete Question
A committee consisting of 2 faculty members and 4 students is to be formed. Every committee position has the same duties and voting rights. There are 6 faculty members and 10 students eligible to serve on the committee. In how many ways can the committee be formed?
Solution
Total Faculty members = 6
Total Students = 10
Out of 6 faculty members, 2 will be chosen for the committee
While 4 students will be chosen out of 10 to be in the committee.
Hence,
Total number of ways of making the core committee = 6C2 * 10C4
= 15*210
= 3150