Question

A dealership has six models of trucks and five models of cars for sale. Wayne sells four vehicles this week. How many of the following combinations of four can be formed?

1) 6
2) 20
3) 15
4) 5
5) Cannot be determined

Answer 1

There are 330 combinations of four that can be formed from six models of trucks and five models of cars.

Step-by-step explanation:

To determine the number of combinations of four that can be formed from six models of trucks and five models of cars, we can use the concept of combinations. The formula for combinations is nCr = n! / (r!(n-r)!), where n is the total number of options and r is the number of options chosen. In this case, there are 11 options (6 trucks + 5 cars) and we want to choose 4. Plugging these values into the formula, we get:

nCr = 11! / (4!(11-4)!) = 11! / (4!7!) = (11*10*9*8) / (4*3*2*1) = 330.

Therefore, there are 330 combinations of four that can be formed.