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A certain number of boys and girls can be seated in a row such that no two girls are together in 1440 ways. If one more boy joins them, the number of ways in which they can be seated in a row such that no two girls are together increases.(A) 4-fold (B) 6-fold (C) 8-fold (D) 10-fold |
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Answer» Correct option: (D) 10-fold Explanation: Let there be m boys and n girls, then the number of ways in which no two girls sit together = m! x m+1Pn = 1440 = 4! x 5P3 => m = 4, n = 3 Therefore the number of the ways in which 5 boys (4 + 1) & 3 girls can be seated in a row such that no two girls are together = 5! x 6 x 5 x 4 = 10 x 1440 = 10 fold |
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