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Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193

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BuyFindarrow_forward

Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193
Textbook Problem
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Six people attend the theater together and sit in a row with exactly six seats.

a. How many ways can they be seated together in
the row?
b. Suppose one of the six is a doctor who must sit on the aisle in case she is paced. How many ways can the people be sealed together in the row with the doctor in an aisle seat?
c. Suppose the sax people consist of three married couples and each couple wants to sit together with the older partner on the left. How many ways can the six be sealed together in the row ?

To determine

(a)

To find how many ways can they be seated together in the row.

Explanation

Given information:

Six people attend the theater together and sit in a row with exactly six sets.

Concept used:

The number of ways in which n can be seated together in a row is n!

Calculation:

It is given that six people attend the theater together and sit in a row with exactly six sets.

The number of ways in which they can be seated together in a row is as follows

To determine

(b)

To find how many ways can the people be seated toghter in the row with the doctor in an aisle seat.

To determine

(c)

To find how many ways can the six be seated together in the row.

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