Combination Probability Word Problem

Question

At Northwest High School, there are 207 students in the Sophomore Class, 243 students in the Junior Class, and 189 students in the Senior Class. The teachers want to assign the students to committees with the same number of sophomores, juniors, and seniors in each committee. (For example, there might be 4 sophomores, 2 juniors, and 3 seniors in every committee). What is the largest number of committees that can be formed?

Answer 1

207: 3² · 23

243: 3⁵

189: 3³ · 7

 

The CGF is 9.

 

Nine committees can be made.