Solve the equation. 78 = -2(m + 3) + m A. –28 B. –42 C. –72 D. –84
1 answer:
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Answer:
116,280 different leadership structures are possible
Step-by-step explanation:
The order is important.
For example, a Committee of John, Elisa, Laura and Rose means that John is the chairperson, Elisa the vice-chairperson, Laura the secretary and Rose the treasurer. If we exchange John and Elisa, their roles are also exchanged. This means that we use the permutations formula to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
How many different leadership structures are possible
Permutations of 4 elements from a set of 20. So
116,280 different leadership structures are possible
Given:
The arithmetic mean of three consecutive even integers is 20.
To find:
The equation that can be used to find the integers.
Solution:
Let the three consecutive even integers are x, x+2 and x+4.
We know that,
The arithmetic mean of three consecutive even integers is:
It is given that, mean = 20. So,
Therefore, the correct option is E.