Question

Reginald wants to buy collars for each of his 3 cats. The collars come in a choice of 6 different colors. How many selections are possible if repetitions of colors are not allowed.

Answer 1

Step-by-step explanation

There are 6 ways to choose the collar of the first cat.

There are 5 ways to choose the collar of the second cat, that is, 6 choices minus the color for the first cat.

There are 4 ways to choose the collar of the third cat, that is, 6 choices minus the colours for the first two cats.

Then, there are 120 possible selections if color repetitions are not allowed.

`6*5*4=120`Answer

There are 120 possible selections if color repetitions are not allowed.