A committee consisting of faculty members and students is to be formed. Every committee position has the same duties and voting rights. There are faculty members and students eligible to serve on the committee. In how many ways can the committee be formed?

Total number of ways of making the core committee = 3150

Step-by-step 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

12m

step-by-step explanation:

square root means have of a number so have of 3 is 1.5 then multiply it by 8 and you get your answer!