Question

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?

Answer 1

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.