HELP Bankteller Problem

1. Feb 11, 2007

rickdundee

HELP!!! Bankteller Problem

1. The problem statement, all variables and given/known data
There are 6 males and 4 females awaiting to see a teller at a bank.

Only 4 people can be served at one time.
1) How many ways can four of the people be picked and served one at a time, if they must include two(2) men and two(2) women?

2) If indeed the four people are picked randomly, what is the probability that the four will include two (2) men and two (2) women?
This is the question I am confused about.

3. The attempt at a solution
My solution for Problem#1: (6 choose 2) * (4 choose 2) = 90

2. Feb 11, 2007

ssd

2) 6C2 x 4C2 /10C4 = 3/7

Last edited: Feb 11, 2007
3. Feb 11, 2007

rickdundee

HELP!!! Bankteller Problem

Thank you. Could you check this.

It is the end of the day and there are 5 tellers, but each teller can only serve one person. Therefore only five people can be served, each by a teller, so the five people are picked at once.

1) How many ways can five of the people picked and served, if they must include 3 men and 2 women?

My solution: (10c5)*(6c3)*(4c2)

2) If indeed the 5 people are picked randomly, what is the probability that the five will include 3 men and 2 women?

My solution: If the solution to the first question is correct I should be able to figure it out.

4. Feb 11, 2007

verty

This is bound to be homework.

5. Feb 11, 2007

rickdundee

Actually review of an even answer in the text.

6. Feb 12, 2007

ssd

2) Just as before,
6C3 x 4C2 / 10C5 =10/21