Hello, Savior_Self!

rom a group of 6 juniors and 8 seniors on the student council,

2 juniors and 4 seniors will be chosen to make up a 6-person committee.

How many different 6-person committees are possible?

. .

Then it tells me: ."Choice (c) is the correct answer.

The 2 juniors on the committee can be chosen from the 6 juniors in (6/2) = 15 ways.

The 4 seniors on the committee can be chosen from the 8 seniors in (8/4) = 70 ways.

Therefore, there are (15)(70) = 1050 possibilities for the 6 person committee."

Can someone please explain (6/2) = 15 and (8/4) = 70 deal to me?

Those expressions are not fractions; they are "combination" numbers.

Selecting 2 juniors from 6 juniors, there are: ways.

Selecting 4 seniors from 8 seniors, there are: ways.

Maybe you'd recognize them if they were written like this?

. . . . .