Question

A homeowner doing some remodeling requires the services of both a plumbing contractor and an electrical contractor. If there are 15 plumbing contractors, and 10 electrical contractors available in the area, in how many ways can the contractors be chosen? E. 15 F. 10 G. 25 H. 150

Answer 1

H. 150

Explanation:

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

`P_((n,x)) = (n!)/((n-x)!)`

In how many ways can the contractors be chosen?

One pumbling(from a set of 15)

One electrical(from a set of 10)

So

`P_((15,1))*P_((10,1)) = (15!)/((15-1)!)*(10!)/((10-1)!) = 15*10 = 150`

So the correct answer is:

H. 150