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The number of ways 4 friends can occupy 9 empty chairs in a stage where chairs arranged linearly is _________.Choices:- 3414 3249 3024 3104

Question

The number of ways 4 friends can occupy 9 empty chairs in a stage where chairs arranged linearly is _________.Choices:- 3414 3249 3024 3104

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Solution

The problem can be solved using the concept of permutations in combinatorics.

Step 1: We have 4 friends and 9 chairs. We need to select 4 chairs out of 9 for the friends to sit. This can be done in 9C4 ways.

Step 2: The 4 friends can arrange themselves in these 4 selected chairs in 4! ways.

So, the total number of ways the 4 friends can occupy 4 chairs out of 9 is 9C4 * 4!.

Let's calculate it:

9C4 = 9! / [(9-4)! * 4!] = 126

4! = 432*1 = 24

So, the total number of ways = 126 * 24 = 3024

So, the answer is 3024.

This problem has been solved

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