Question

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

Answer 1

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!