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?
. . . . .