Reginald wants to buy a new collar for each of his 3

Question

dogs. The collars come in a choice of 7
different colors.

Step 2 of 2 : How many selections of collars are possible if repetitions of colors are not allowed?

Answer 1

To find the number of selections of collars possible if repetitions of colors are not allowed, we can use the concept of permutations.

The number of ways to choose a collar for the first dog is 7 (since there are 7 different colors available).
The number of ways to choose a collar for the second dog is 6 (since we cannot repeat the color chosen for the first dog).
The number of ways to choose a collar for the third dog is 5 (since we cannot repeat the colors chosen for the first and second dogs).

Therefore, the total number of selections possible is:
7 x 6 x 5 = 210

So, there are 210 possible selections of collars when repetitions of colors are not allowed.