Question

Dave wants to buy a new collar for each of his 4 cats. The collars come in a choice of 8 different colors. How many selections of collars for the 4 cats are possible if repetitions of colors are allowed?

Answer 1

Answer:

4096.

Step-by-step explanation:

We have been given that Dave wants to buy a new collar for each of his 4 cats. The collars come in a choice of 8 different colors. We are asked to find the number of selections of collars for the 4 cats if repetitions of colors are allowed.

Since repetitions are allowed, so collars for each cat be chosen in 8 different ways.

Total number of selections would be $8\times 8\times 8\times 8=4096$

Therefore, there are 4096 possible selections of collars.