Exercise 1: 1) Suppose we have to select a manager, assistant manager, and night manager from a list of 10 people. How many ways can this be done

The many ways we can select a manager, assistant manager, and night manager from a list of 10 people is:

120 possible combinations.

Step-by-step explanation:

a) Data and Calculations:

Number of selections = 3

Total number of elements to choose from = 10

This translates to 10! /(3! (10 - 3)!

10! = 3,628,800

7! = 5,040

3! = 6

Therefore, 3,628,800/6 * 5,040 = 3,628,800/30,240 = 120

We also describe this combination as 10 Choose 3 = 120.

Therefore, 120 is the total number of all possible combinations for choosing 3 elements at a time from 10 distinct elements.  Note that this does not consider the order of choosing the three elements.  In statistics and probability surveys or experiments, the formula for combinations is generally n! / (r! (n - r)!), where n is the total number of possibilities to start and r is the number of selections made.

from the figure we get,

the x axis shows   the months and,

the y-axis shows the number of satisfied customer.

each line or each cell in upward direction (y-axis) shows 500.

the appropriate scale for the y - axis is: -

a = 2000 customers

b = 4000 customers

c = 6000 customers

d = 8000 customers

e = 10000 customers

f = 12000 customers

g = 14000 customers