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A day full of math games & activities. Find one near you.

A day full of math games & activities. Find one near you.

# It is required to seat 5 men and 4 women in a row so that the women occupy the even places. How many such arrangements are possible?

**Solution:**

Let us consider M = Men; W = Women.

There are 4 women and 5 men.

We have to place women in even place, so our arrangement would look like this:

M W M W M W M W M

Using factorials,

- No. of ways of arranging women among themselves = 4!
- No. of ways of arranging men among themselves = 5!

By fundamental principle of counting,

The total number of ways = 4! × 5! = 24 × 120 = 2880

NCERT Solutions Class 11 Maths Chapter 7 Exercise ME Question 9

## It is required to seat 5 men and 4 women in a row so that the women occupy the even places. How many such arrangements are possible?

**Summary:**

If it is required to seat 5 men and 4 women in a row so that the women occupy the even places, then the possible number of such arrangements is 2880

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