Reginald wants to buy a new collar for each of his 3
cats. The collars come in a choice of 6
different colors.
Step 1 of 2 : How many selections of collars for the 3
cats are possible if repetitions of colors are allowed?
Since repetitions of colors are allowed, for each cat, there are 6 choices of colors.
Therefore, the total number of possible selections for the 3 cats is 6 * 6 * 6 = 216.
So, there are 216 possible selections of collars for the 3 cats if repetitions of colors are allowed.