Factorials
Probability
Level
2
There are 5 chairs and 5 people who want to sit on the 5 chairs.
How many scenarios are going to be there where each of the person is going to sit on the chairs?
The answer is 120.
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There are 5 chairs and 5 persons.
Then 1st person can sit on any of 5 chairs
and 2nd person can sit on any of 4 remaining chairs
and 3rd person can sit on any of 3 remaining chairs
and 4th person can sit on any of 2 remaining chairs
and 5th person can sit only on 1 remaining chairs
Total number of ways = 5 × 4 × 3 × 2 × 1 = 5! = 120