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7 (a) Seven men and five women need to sit down for dinner at a circular table. (1) In how many ways can this be done? (ii) In how many ways can this be done if no two women may sit next to each other? (iii) In how many ways can this be done if no two men may sit next to each other?

7 (a) Seven men and five women need to sit down for dinner at a circular table. (1) In how many ways can this be done? (ii) In how many ways can this be done if no two women may sit next to each other? (iii) In how many ways can this be done if no two men may sit next to each other?

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.CT: Chapter Test
Problem 3CT: An Internet service provider requires its customer to select a password consisting of four letters...
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7 (a) Seven men and five women need to sit down for dinner at a circular table. (i) In how many ways can this be done? (ii) In how many ways can this be done if no two women may sit next to each other? (iii) In how many ways can this be done if no two men may sit next to each other?
Transcribed Image Text:7 (a) Seven men and five women need to sit down for dinner at a circular table. (i) In how many ways can this be done? (ii) In how many ways can this be done if no two women may sit next to each other? (iii) In how many ways can this be done if no two men may sit next to each other?
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