The number of ways in which 5 boys and 4 girls sit around a table so that all the boys sit together is:

  1. 9!
  2. 5!5!
  3. 4!5!
  4. None of these

Answer (Detailed Solution Below)

Option 3 : 4!5!
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Agniveer Navy SSR Full Test - 01
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Detailed Solution

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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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