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

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.

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17.   e. none of the above