Three students (S) and six faculty members (F) are on a

Chapter 1, Problem 11E

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QUESTION:

PROBLEM 11E

Three students (S) and six faculty members (F) are on a panel discussing a new college policy.

(a) In how many different ways can the nine participants be lined up at a table in the front of the auditorium?

(b) How many lineups are possible, considering only the labels S and F?

(c) For each of the nine participants, you are to decide whether the participant did a good job or a poor job stating his or her opinion of the new policy; that is, give each of the nine participants a grade of G or P.

How many different “scorecards” are possible?

Questions & Answers

QUESTION:

PROBLEM 11E

Three students (S) and six faculty members (F) are on a panel discussing a new college policy.

(a) In how many different ways can the nine participants be lined up at a table in the front of the auditorium?

(b) How many lineups are possible, considering only the labels S and F?

(c) For each of the nine participants, you are to decide whether the participant did a good job or a poor job stating his or her opinion of the new policy; that is, give each of the nine participants a grade of G or P.

How many different “scorecards” are possible?

ANSWER:

Solution 11E

Step1 of 3:

We have number of students(S) = 3

               Number of faculty members = 6

are on a panel discussing a new college policy.

We need to find,

(a) In how many different ways can the nine participants be lined up at a table in the front of the auditorium?

(b) How many lineups are possible, considering only the labels S and F?

(c) For each of the nine participants, you are to decide whether the participant did a good job or a poor job stating his or her opinion of the new policy; that is, give each of the nine participants a grade of G or P.

How many different “scorecards” are possible?

Step2 of 3:

a).

Number of students(S) = 3

Number of faculty members = 6

The number of ways can the nine participants be lined up at a table in the front of the auditorium is given by = [(Number of students(S)) + (Number of faculty members

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