(a) In how many ways can 3 boys and 3 girls sit in a

Chapter 1, Problem 7P

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QUESTION:

Problem 7P

(a) In how many ways can 3 boys and 3 girls sit in a row?

(b) In how many ways can 3 boys and 3 girls sit in a row if the boys and the girls are each to sit together?

(c) In how many ways if only the boys must sit together?

(d) In how many ways if no two people of the same sex are allowed to sit together?

Questions & Answers

QUESTION:

Problem 7P

(a) In how many ways can 3 boys and 3 girls sit in a row?

(b) In how many ways can 3 boys and 3 girls sit in a row if the boys and the girls are each to sit together?

(c) In how many ways if only the boys must sit together?

(d) In how many ways if no two people of the same sex are allowed to sit together?

ANSWER:

Step 1 of 4

a). To find out how many ways 3 boys and 3 girls can sit in a row.

There are 6 different people.

The number of ways of ordering 6 people in a row is

                                               6! = 720

Therefore, 720 ways 3 boys and 3 girls can sit in a row.

 

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