Question

there are two parts to this question we're going to do the first part then I'll type the second part at the first part is complete.Dave wants to buy a new collar for each of his three dogs. The collars come in a choice of nine different colors. step 1: how many selections of collars for the three dogs are possible if repetition of colors are allowed? 729step2: How many selections of collars are possible if repetitions of colors are not allowed?

Answer 1

We are looking at the problem where repetitions of color are not allowed. For the first selection of color, we have 9 color options that can be chosen. Upon getting the first color, there are only 8 remaining colors for selection. After the second selection, we only got 7 remaining collar colors to select. The total selections that are possible if repetitions of colors are not allowed will be

`9*8*7=504`

A total of 504 collar selections is possible if repetition of colors is not allowed.

Answer: 504