How many ways can a committee be formed from 4 men and 6 women?

= 6×15 + 4×1=94.

How many different ways can a 4 person committee with at least 1 woman be chosen?

Gender doesn’t matter anymore since we’ve met the criteria of picking one man and one woman. That means there are 5 * 4 = 20 ways to choose the rest of the committee. Combining what we now know, there are 12 * 20 = 240 ways to organize this committee.

How many committees of 3 members can be formed from 6 men and 4 ladies?

According to the question we have to make a committee of 5 and in each committee formed there must be at least one lady. There are 6 gentlemen and 4 ladies. Hence, the required number of committees is 246.

How many ways can the committee be selected?

There are 7 ways to select one people, so there are 7 ways to select a committee. Also it is known as the number of combinations from 7 by 6, If, for example, a committee has 1 chairman, then there are 7 ways for selecting a chairman and 6 ways to select a man not in a committee, 7*6=42 ways at all.

How many ways can a committee of 3 ladies and four gents be chosen from 8 ladies and 7 gents?

In this case, we can select 2 other ladies from the remaining 7 in 7C2 ways and 3 other gentlemen from the remaining 6 in 6C3 ways. The no. of ways in which both Mrs X and Mr Y are always included = 7C2 x 8C3 = 21 x 20 = 420.

How many ways can a group of 6 choose a committee of 3?

20 ways
(6−3)! =6⋅5⋅4⋅3⋅2⋅1(3⋅2⋅1)(3!) So, there are 20 ways to choose 3 students from a group of 6 students.

How many ways can a committee of 4 be chosen from a group of 8 people?

70 ways
In 70 ways can a committee of 4 be chosen from a group of 8 people.

How many ways can a committee of 4 be chosen from 12?

495 ways
Summary: 495 ways a committee of 4 can be selected from a club with 12 members.

How many ways are there to choose a committee of 4 persons from a group of 10 persons if one is to be the chairperson?

So there are 5,040 way to select 4 people from 10.

How many women and men can be on the Committee?

There are 8 women that can go into 2 slots: C8,2 = 8! (2!)(6!) = 8 ×7 × 6! 2 × 6! = 28 and 6 men who can go into the remaining 2 slots: The total number of ways we can fill the slots on the committee is:

How many different types of committees are there?

There are 1,176 different possible committees. Let’s break this down into the two sub-groups: one with men, and one with women. Of the 8 men available, we must choose 3. The number of possible groups is 8C3, which is 8! 3! × 5! = 56. Of the 7 women available, we must choose 2. The number of possible groups is 7C2, which is 7! 2! × 5! = 21.

How many women and men are there in a department?

You can put this solution on YOUR website! Probability-and-statistics/1051110 (2016-10-03 17:42:57): There are 7 women and 5 men in a department. How many ways can a committee of 4 people be selected?

How many ways to choose 2 men and 2 women?

So, there are 28 ways to choose 2 men and 28 ways to choose 2 women. This means that there is 282 = 784 ways to choose both 2 men and 2 women.