Answer:
120 ways
Step-by-step 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.
