Since repetitions of colors are not allowed, Reginald can choose 1 collar from 6 colors for the first cat, then 1 collar from the remaining 5 colors for the second cat, and finally 1 collar from the remaining 4 colors for the third cat.
Therefore, the total number of selections of collars possible is 6 * 5 * 4 = 120.
So, Reginald has 120 different selections of collars to choose from for his cats.
Reginald wants to buy a new collar for each of his 3
cats. The collars come in a choice of 6
different colors.
Step 2 of 2 : How many selections of collars are possible if repetitions of colors are not allowed?
1 answer