Question

three men and 3 women are to be selected to represent a group of 10 men and 11 women how many ways can the representatives be selected?

Answer 1

how is 3 women going to represent the group that only has 1 woman?

Answer 2

Or did you mean 10 women?

Answer 3

sorry its 11 women

Answer 4

ok, that makes sense.

Answer 5

The number of ways you can select 3 men from 10 men is 10 C 3.
The number of ways you can select 3 women from 11 women is 11 C 3.

So the total number of ways you can select 3 men from 10 men AND 3 women from 11 women is

10 C 3 times 11 C 3.

Answer 6

You can use your calculator to compute that number.

Answer 7

my teacher did this totally backwards and confused everyone with no explanation so i get it now.

Answer 8

One thing to keep in mind.........

Answer 9

We are using combinations and NOT permutations, because we use combinations when order does not count. Permutations are used when order counts. Make sure you clearly understand the difference between a combination and a permutation.

Answer 10

In this problem, order does not matter. Woman 1, woman 2, and woman 3...is the same as woman2, woman 3, and woman 1...they are the same women.

Answer 11

i understand permutations and combinations but when it came to this problem my teacher added more steps in like
men - 10C3 x women - 11C2 then dividing by a different set which confused me. but thanks.

Answer 12

welcome.