A small town has 5 police officers. When a radio dispatcher receives a call, depending on the nature of the situation, no officer, one officer, two officers, three officers, four officers, or all five officers can be sent. How many different ways can the dispatcher send the police officers to the scene of the caller?

N = 32 ways

the dispatcher can send the police officers to the scene of the caller in 32 ways.

Step-by-step explanation:

Given;

Total number of officers = 5

The total number of ways the dispatcher can send the police officers is the sum of the number of ways of sending each of no officer, one officer, two officers, three officers, four officers, or all five officers.

N = 5P0 + 5P1 + 5P2 + 5P3 + 5P4 + 5P5

N = 1 + 5 + 10 +10 + 5 + 1 = 32

N = 32 ways

constant of proportionality = 3 and the equation is c = 3p.

step-by-step explanation:

c = kp   where c = amount of caffeine in mg., p = oz of pepsi and k is the constant of proportionality.

substituting the values given:

24 = 8k

k = 3.

the same value of k will be obtained if we substitute the other given values.