5children are to be seated on a bench.In how many ways can it be done?
To find the number of ways to seat 5 children on a bench, we can use the concept of permutations.
Since there are 5 children and 5 positions on the bench, we need to calculate the number of permutations of 5 objects taken 5 at a time.
The formula for permutations of n objects taken r at a time is given by:
P(n, r) = n! / (n - r)!
In our case, we have n = 5 (5 children) and r = 5 (5 positions on the bench).
P(5, 5) = 5! / (5 - 5)!
= 5! / 0!
= 5! / 1
= 5 x 4 x 3 x 2 x 1 / 1
= 120
Therefore, there are 120 ways to seat the 5 children on the bench.