Answer:
Part a: The number of ways in which the candidates can be appointed on the executive posts are 11880.
Part b: The number of ways in which the candidates can be appointed as members of the planning committee are 495.
Step-by-step explanation:
As the complete question is not given a similar question is found online and is attached herewith.
Part a: Number of ways in which 12 candidates can be appointed for President, Chief Executive Officer, Chief Operating Officer and Chief Finance Officer.
Number of Candidates=12
Number of Posts=4
As the order is important the number of ways are identified using Permutations given as

So the number of ways in which the candidates can be appointed on the executive posts are 11880.
Part b: Number of ways in which 12 candidates can be appointed as members of the planning committee.
Number of Candidates=12
Number of Posts=4
As the order is not important the number of ways are identified using Combinations given as

So the number of ways in which the candidates can be appointed as members of the planning committee are 495.
Answer:
61.2 degrees
Step-by-step explanation:
You want to isolate x on one side of the equation and the numbers on the other side
3x + 2x + 27 = 180
3x + 2x +27 - 27 = 180-27
5x = 153
x = 153/5
x = 30.6
<DOC = 2x
2x = 30.6 x 2
61.2 degrees
Answer:
8<em>h</em>
Step-by-step explanation:
8 miles per hour
<em>h</em> hours
plug in <em>h </em>for how many hours
8 divided by 6 is 1.3
1.3 hours to run 6 miles
He needs 6 litres of the 20% and 2 litres of the 60% a simple trial and error method will do in this type of equation
Answer:
<em>5.5</em>
Step-by-step explanation:
Given the set of data
5, 4, 2, 1, 1, 2, 10, 2, 3, 5.
The average of the least and the greatest value is known as the midrange
The formula for calculating the midrange is expressed as shown:
Midrange = (Greatest value + Least value)/2
Given
Greatest value = 10
Least value = 1
Midrange = 10+1/2
Midrange = 11/2
Midrange = 5.5
<em>Hence the midrange of the data is 5.5</em>