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The number of ways in which 5 boys and 4 girls to sit around a table so that all the boys sit together is:1. 9!2. 5!5!3. 4!5!4. None of these |
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Answer» Correct Answer - Option 3 : 4!5! Concept: Arrangements of n different objects around a circle, then the number of arrangements is (n – 1)! Calculation: Given: All boys are to sit together So, All boys can be considered as a single group. ∴ Total no of students = 4Girls + 1Group = 5 The number of ways of arranging 5 students in a round table is (5 - 1)! = 4! Now, no of the ways of arranging 5 boys is 5! Hence, The total number of ways = 4!5! |
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