2. Four boys and three girls are to be seated in a row of 7 chairs. How many ways can it be done if: a. they sit in any order? b. all boys stay together? c. the boys sit alternately with the girls?
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If they can sit in any order, then the first person can choose any of the 7 chairs, the second person can choose any of the remaining 6 chairs, the third person can choose any of the remaining 5 chairs, and so on. Show more…
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(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?
Combinatorial Analysis
Problems
(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?
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