Question

How many ways can five dogs line up to be groomed ?

Answer 1

25

Explanation:

you get 25 because each dog could be in the line at least one.

Answer 2

120 ways

Explanation:

we have to find the numbers of ways for five dogs line up to be groomed.

For solving this , we should use method of permutation.

Number of permutation of n things taken r at time:

P(n,r)= n!/(n-r)!

From question statement, we observe that

n=5 and r=5 (since 5 dogs are taken at atime)

P(5,5)= 5!/(5-5)!

P(5,5)= 5!/0! ∵ 0!=1

P(5,5)= 5!/1

P(5,5)=5!

P(5,5)= 5×4×3×2×1

P(5,5)=120 ways.

hence, there are 120 ways for five dogs line up to be groomed.