Question

We have 18 students: 3 seniors, 5 juniors, 4 sophomores, and 6 freshmen in a class....

We have 18 students: 3 seniors, 5 juniors, 4 sophomores, and 6 freshmen in a class. We want to form a student organization to represent the students. The student organization is composed of 8 students.

We want to select 8 random students (ignoring their class rank for now). How many possible combination is there to form an organization?

Incorrect. Tries 1/2 Previous Tries


If we choose 8 students randomly, there is a problem because we could have, for example, 3 seniors and 5 juniors so that the organization will not represent the interest of sophomores and freshmen. Therefore, we form four sub-organizations (one for each grade), and each sub-organization is composed of two students from each grade.

How many combinations are possible for seniors?

Tries 0/2

How many combinations are possible for juniors?

Tries 0/2

How many combinations are possible for sophomores?

Tries 0/2

How many combinations are possible for freshmen?

Tries 0/2

Now how many combinations are possible for the student organization as a whole?

Math   Statistics-And-Probability   
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