Table of Contents
- 1 How many committees of 5 people can be selected from 5 men and 5 women if the committee must have 3 men and 2 women?
- 2 How many committees of 3 men and 2 women can be formed from 7 men and 5 women?
- 3 What are the ways to select 3 men and 2 women?
- 4 How many words of 4 letters with or without meaning be made from the letters of the word number when repetition of letters is not allowed?
- 5 How many people are required to be on a committee?
- 6 How many different types of committees are there?
How many committees of 5 people can be selected from 5 men and 5 women if the committee must have 3 men and 2 women?
Final answer: There are 525 different ways to create a committee.
How many committees of 3 men and 2 women can be formed from 7 men and 5 women?
350 ways
Out of 7 men, 3 men can be chosen in 7C3 ways and out of 5 women, 2 women can be chosen in 5C2 ways. Hence, the committee can be chosen in 7C3×5C2=350 ways.
What are the number of ways to select 3 men and 2 women such that one man and one woman are always selected?
Q. What are the number of ways to select 3 men and 2 women such that one man and one woman are always selected? = 30 ways.
How many ways can a committee of 5 be formed from?
There are 252 ways to select a committee of five members from a group of 10 people.
What are the ways to select 3 men and 2 women?
What are the number of ways to select 3 men and 2 women such that one man and one woman are always selected? = 30 ways.
How many words of 4 letters with or without meaning be made from the letters of the word number when repetition of letters is not allowed?
Therefore, the number of four-letter words that can be formed is 5040.
How many ways can a committee of three be formed?
For a committee of three, we can put any of the three in the first slot, then any of the remaining two in the second slot, then the last remaining in the third slot. So each different committee can be arranged 3 times 2 times 1 different ways. This gives us 6 different ways.
How many women can be on a committee of 5?
“At least” One Women Selected. Which means we have to calculate for the cases when 1 women is on the committee, when 2 women could be on the committee, 3 women on the committee and all 4 women on the committee. A committee of 5 people is to be chosen from a group of 6 men and 4 women.
How many people are required to be on a committee?
A committee of 5 people is to be chosen from a group of 6 men and 4 women. How many committees are possible if there must be “At least “ One women on the committee?
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 possible combinations are there with 56 men and 15 women?
Well, you can form 8 choose 3 groups of men, and for each of those you can choose any of the 6 choose 2 groups of women. nCr=n!/ ( (r!) (n−r)!) So, 56*15=840 possible combinations, assuming you don’t care about anything other than number of men, number of women.