Solved: Four married couples have bought 8 seats in the

Chapter 3, Problem 2.38

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QUESTION:

Four married couples have bought 8 seats in the same row for a concert. In how many dierent ways can they be seated (a) with no restrictions? (b) if each couple is to sit together?(c) if all the men sit together to the right of all the women?

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QUESTION:

Four married couples have bought 8 seats in the same row for a concert. In how many dierent ways can they be seated (a) with no restrictions? (b) if each couple is to sit together?(c) if all the men sit together to the right of all the women?

ANSWER:

Step 1 of 5

The number of possible permutations of  objects is

Hence, the number of permutations of 8 persons is

So without restrictions, there are  ways that 8 persons ( 4 couples) can sit in a row.

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