Answer:
The number of ways to select 3 cars and 5 trucks is 69,06,900.
Step-by-step explanation:
In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.
The formula to compute the combinations of k items from n is given by the formula:
It is provided that:
Number of different cars, <em>n</em> (C) = 25.
Number of different trucks, <em>n</em> (T) = 15.
Devin selects 8 vehicles to display on the shelf in his room.
Compute the number of ways in which he can select 3 cars from 25 different cars as follows:
There are 2300 ways to select 3 cars.
Compute the number of ways in which he can select 5 trucks from 25 different trucks as follows:
There are 3003 ways to select 5 trucks.
Compute the total number of ways to select 3 cars and 5 trucks as follows:
n (3 cars and 5 trucks) = n (3 cars) × n (5 trucks)
Thus, the total number of ways to select 3 cars and 5 trucks is 69,06,900.
