# math

posted by .

In a company there are 7 executives: 4 women and 3 men. 3 are selected to attend a management seminar. Find these probabilities.

A) All 3 selected are men
B) all 3 selected are women
C) 2 men and 1 woman will be selected.
D) 1 man and 2 woman will be selected

• math -

Are they selected randomly?

If randomly, which would be an unusual way of selecting folks for training (think about that)..

a) 3/7 * 2/6 * 1/5

c) you can select those several ways..
m, m, w
m,w,m
w,m,m
so, probab=3/7*2/6*4/5 + 3/7*4/6*2/5 + 4/7*3/6*2/5 = amazing..3ways*4*3*2/7*6*5

You probably have some combination formulas for this in your text.

• math -

I doubt order matters. And there is no formula given in the text. So I was thinking for A it would be 3/ 7 since there are 3 men out of the possible 7 chosen executives.

• math -

I do these by using combinations (since order does not matter)

e.g. #1
prob = C(3,3)/C(7,3) = 1/35

b) C(4,3)/C(7,3) = 4/35

c) C(3,2)*C(4,1)/C(7,3) = 3*4/35 = 12/35

d) C(3,1)*C(4,2)/C(7,3) = 3*6/35 = 18/35

## Similar Questions

1. ### Probability

This is an example question, but I'm not sure how my instructor came up with the answer. Could anyone explain in detail please. Among the contestants in a competition are 49 women and 29 men. If 5 winners are randomly selected, what …
2. ### math

from a group of women and 4 men, determine in how many ways a committee of people can be selected with no restrictions?
3. ### gr12 math

froma group of 6 ladies and 4 men, determine in how many ways a committee of 4 people cxan be selected. a. with no restirctions b. 4 women c. 3 women and 1 men d. 2 women and 2 men e. 4 men
4. ### Maths

Eleven people, 7 men and 4 women, successfully completed their study at the School of Astronautics. A team of 6 people needs to be selected from them for the next intergalactic travel. In how many ways can 6 astronauts be selected, …
5. ### math word problem

There are 10 women and 8 men in a club. How many different committees of 6 people can be selected from the group if equal numbers of men and women are to be on the committee?
6. ### statistics

Among the contestants in a competition are 44 women and 26 men. if 2 winners are randomly selected, what is the probabilty that they are all men?
7. ### stats

Among the contestants in a competition are 44 women and 26 men. if 5 winners are randomly selected, what is the probability that they are all men?
8. ### math

In a group of 7 men and 8 women, how many committees of 5 can be selected for which there are 2 men and 3 women?
9. ### Math

An executive committee consists of 11 members: 5 men and 6 women. 3 members are selected at random to attend a meeting in Hawaii. The names are drawn from a hat. What is the probability that all 3 selected are women?