Question

Motors Inc. manufactured 325 cars with automatic transmissions, 216 with power steering, and 89 with both of these options. How many cars were manufactured with at least one of the two options?

Answer 1

A total of 452 cars were manufactured with at least one of the two options (automatic transmissions or power steering) after applying the principle of inclusion-exclusion.

Step-by-step explanation:

To determine the number of cars with at least one of the two options, we will use the principle of inclusion-exclusion. The number of cars with automatic transmissions is 325, and the number with power steering is 216. There are 89 cars that have both options.

First, add the individual totals: 325 (automatic transmissions) + 216 (power steering) = 541. Next, subtract the number that have both options, since they have been counted twice in the sum: 541 - 89 = 452.

Therefore, 452 cars were manufactured with at least one of the two options.