When gabby bought her new car, she found that there were 72 different ways her car could come equipped. her choices included 4 choices of engines and 3 choices of transmission. if her only other choice was color, how many choices of color did she have?

There were 72 different ways Gabby could have chosen her car.

There were 4 choices of engines

There were 3 choices of transmission

Let the number of choices for color were n

Now she could chose 1 engine out of 4 choices in 4 different ways.

She could chose 1 transmission out of 3 choices in 3 different ways.

She could chose 1 color out of n choices in n ways.

So 4 * 3 * n = 72

12n = 72

Dividing by 12 we get

n = 6

So there were 6 choices of color to be chosen from.