Question

You have several options to add to your brand new car: leather seats, heated seats, sunroof, tinted windows, and back up camera. How many different ways can the car be built?

Answer 1

The number of different ways the car can be built is 31 different ways

Explanation:

The given options are'

1), Leather seats, 2) Heated seats, 3) Sunroof, 4) Tinted windows, 5), back up camera

Therefore, the number of different ways the car can be built, n, is given as follows;

n = ₅C₁ + ₅C₂ + ₅C₃ + ₅C₄ + ₅C₅

n = 5 + 10 + 10 + 5 + 1 = 31 different ways

The number of different ways the car can be built = n = 31 different ways