Knowee
Questions
Features
Study Tools

From a group of 6 men and 4 women a committee of 4 persons is to be formed ?Question 3Answera.210b.225c.255d.195

Question

From a group of 6 men and 4 women a committee of 4 persons is to be formed?

Question 3

Answer options:

  • a. 210
  • b. 225
  • c. 255
  • d. 195
🧐 Not the exact question you are looking for?Go ask a question

Solution

The question is asking for the number of ways a committee of 4 persons can be formed from a group of 6 men and 4 women.

This is a combination problem, because the order in which the people are selected does not matter.

The formula for combinations is C(n, r) = n! / [r!(n-r)!], where n is the total number of options, r is the number of options chosen, and "!" denotes a factorial, which means to multiply all positive integers from our chosen number down to 1.

In this case, n = 6 men + 4 women = 10 people, and r = 4 people.

So, we plug these numbers into our formula:

C(10, 4) = 10! / [4!(10-4)!] = (10987654321) / [(4321)(654321)] = (10987) / (4321) = 210

So, there are 210 ways to form a committee of 4 people from a group of 6 men and 4 women. Therefore, the answer is a. 210.

This problem has been solved

Similar Questions

There are 6 men and 7 women. In how many ways a committee of 4 members can be made such that a particular woman is always excluded?

In how many different ways can a committee of 8 persons be formed out of 5 men and 3 women?

In how many ways can a committee of 3 people be selected from a group of 5 men and 4 women if at least one man and one woman must be included in the committee?

You want to choose a committee of 5 people from 13 men and 19 women. How many ways can this be done?

How many ways a committee of 3 boys and 2 girls can be formed from the group of 5 boys and 4 girls?Question 12Answera.21b.60c.14d.48

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.