Three members (mary ,sue and tom of a 20-person office of carpooling so they insit on never working seperatly. that is whenever
1 answer:
Answer:
2380 committees of size 7 meet the given requirement.
Step-by-step explanation:
The question is basically asking us to find the number of ways in which 7 persons can be selected in a committee, such that 3 members ( Mary, Sue and Tom ) are always included.
Now, there are a total of 20 persons in the office, out of which 3 members are always included in the committee.
So, 3 members can be selected in ways.
Now, 4 members are to be selected out of the remaining 17 persons in the office.
So 4 members can be selected in ways.
And so the total number of ways of selecting 7-member committee with the given requirement = x
= 2380 ways.
You might be interested in
Answer:
a) Add 4 to both sides, and then divide by 2. The solution is .
Step-by-step explanation:
Question:
Which of the following describes the correct process for solving the equation 2x − 4 = 20 and arrives at the correct solution?
a) Add 4 to both sides, and then divide by 2. The solution is x = 12.
b) Divide both sides by −4, and then subtract 2. The solution is x = −7.
c) Subtract 4 from both sides, and then divide by 2. The solution is x = −12.
d) Multiply both sides by −4, and then divide by 2. The solution is x = −40.
Solution:
Given equation:
We need to determine the steps in order to solve for .
Solving for .
Step 1: Adding 4 both sides.
Step 2: Dividing both sides by 2.
∴
Thus, we added 4 both sides and then divided both sides by 2 to get solution = 12
Given:
The equation is
To find:
The solution of the given equation.
Solution:
We have,
It can be written as
Multiply both sides by 7.
Divide both sides by 7.
Therefore, the value of z is -2.