Tony wants to buy a new collar for each of his 5 cats The co

Tony wants to buy a new collar for each of his 5 cats. The collars come in a choice of 6 different colors. Step 1 of 2: How many selections of collars for the 5 cats are possible if repetitions of colors are allowed?

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

Solution

1)

Possible selections of collars for the 5 cats from 6 diffrent colors when repetation is allowed = 5 ^ 6 = 15625

2)

Possible selections of collars for the 5 cats from 6 diffrent colors when repetation is not allowed = 6 * 5 * 4 * 3 * 2 = 720 possibles combinations are possible