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There are 5 gentlemen and 4 ladies to dine at a round table. In how many ways can they as themselves so that no that ladies are together ?A. 2880B. 576C. 1440D. 480 |
Answer» Five gentlemen can be seated at a round table in (5-1)!=4! Ways. Now 5 places are created in which 4 ladies can be arranged in `""^(5)P_(4)` ways. Hence, the total number of ways in which no two ladies sit together `=4!xx""^(5)P_(4)xx4!xx5!""=2880`. |
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