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Answer:
In 16170 ways the committee can be formed.
Step-by-step explanation:
3 faculty members and 5 students are required to form a committee.
The eligible to serve on the committee are 7 faculty members and 11 students.
If each committee position has the same duties and voting rights.
Then, the number of ways of selecting 3 faculty members out of 7 eligible faculty members is .
Again, the number of ways of selecting 5 students out of 11 eligible students is given by .
Therefore, in (35 × 462) = 16170 ways the committee can be formed. (Answer)
Given function:
To find:
The input if the output is 32.
The output if the input is 4.
Solution:
Input is x and output is c.
Substitute c = 32 in f(x).
Divide by 4 on both sides, we get
Taking cube root on both sides.
The input is 2 if the output is 32.
Substitute x = 4 in f(x).
The output is 256 if the input is 4.