A company has 8 cars and 11 trucks. The state inspector will select 3 cars and 4 trucks to be tested for safety inspections in how many ways can this be done

Number of ways to select 3 cars and 4 trucks = 18,480

Step-by-step explanation:

Let x be the number of ways to select 3 cars and 4 truck.

Given:

Total number of cars = 8

Total number of Trucks = 11

We need to find out how many ways can the inspector select 3 cars and 4 truck.

Solution:

Using combination formula.

Where, n = Total number of object.

m = Number of selected object.

We need to find out how many ways can the inspector select 3 cars and 4 truck from 8 cars and 11 trucks.

So, we write the the combination as given below.

Factorial 5 and 7 is cancelled.

                    ()

               ()

x = 18480

Therefore, the Inspector can select 3 cars and 4 trucks in 18,480 ways,

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step-by-step explanation: