A committee of 5 people must be selected from 10 men and 5 women. How many different ways this can be done If there must be 3 men and 2 women in each committee?
x persons can be selected from n persons by nCx ways.
Where nCx = n! / [ (n-x)! * x! ]
So,
Number of ways to select 3 men and 2 women = 10C3 * 5C2
= 120 * 10
= 1200
A committee of 5 people must be selected from 10 men and 5 women. How many...
43. Selecting a Committee There are 7 women and 5 men in a department. How many ways can a committee of 4 people be selected? How many ways can this committee be selected if there must be 2 men and 2 women on the committee? How many ways can this committee be selected if there must be at least 2 women on the committee?
In how many ways can a committee consisting of 6 men and 6 women be selected from a group consisting of 10 men and 9 women?
In how many ways can a committee of two men and three women be formed from a group of six men and eight women? A committee of two men and three women can be formed from a group of six men and eight women indifferent ways. ьох. 11:59pm e to search Si In how many ways can a committee of two men and three women be formed from a group of six men and eight women? A committee of two...
A committee of 5 people is to be selected from 6 women and 7 men. Find the probability thata) all committee members are men.
(a) (10 pts) In how many ways can a committee of 3 people be selected from 8 people? (b) (10 pts) In how many ways can a committee of 3 people be selected from 8 people, with one president, one vice president and one treasurer?
From a group of 6 men and 5 women. a. How many different committees can be formed if one of the men must be in the committee? b. How many different committees can be formed if 2 of the women are enemies and refuse to serve on the committee together?
A committee of 3 people is selected at random from 4 men and 8 women. What is the probability that the the committee contains both men and women given that the committee is not composed of all men?
A committee of 6 people is to be chosen from a group consisting of 7 men and 8 women. The committee must consist of at least 3 women and at least 2 men. (a) How many different committees are possible? (b) What is the probability that the committee consists of 2 men and 4 women?
A club has 5 men and 8 women members. how many ways can they select a committee of 5 if there are to be 2 men and 3 women on the committee?
Please answer the following question: a) In how many ways can a committee of 3 people be selected from a group of 10 people? b) In how many ways (different arrangements) can 8 books be placed on a shelf? c) On an ice cream menu, there are 5 choices of ice cream flavors, 4 choices of toppings and 2 choices of syrups. In how many different ways can the ice cream be ordered, if each order must include one ice...