A small town has three police cars If a radio dispatcher rec

A small town has three police cars. If a radio dispatcher receives a call, depending on the nature of the situation, no cars, one car, two cars, or all three cars can be sent. How many options does the dispatcher have for sending the police cars to the scene of the caller?

Solution

Solution : Total numbers of car in a town = 3

if the dispatcher sent no car to the scene of caller then it can be done in 3c0 ways

and 3c0 = 1

if the despatcher sent 1 car, it can be done in 3c1 ways

and 3c1 = 3

if the despatcher sent 2 cars, it can be done in 3c2 ways

and 3c2 = 3

if the despatcher sent all 3 cars, it can be done in 3c3 ways

and 3c3 = 1

Total options dispatcher have for sending the police cars to the scene of the caller = 1 + 3 + 3 + 1

= 10. Answer