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
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.
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