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  • In a row, 5 chairs are placed opposite 5 additional chairs. These chairs must have 6 boys and 4 girls seated on them, with the girls always facing one another. In how many ways can they b

In a row, 5 chairs are placed opposite 5 additional chairs. These chairs must have 6 boys and 4 girls seated on them, with the girls always facing one another. In how many ways can they be seated?

 

Option: 1

14400


Option: 2

12400


Option: 3

11400

 


Option: 4

15400


Answers (1)

best_answer

There are 5 sets of chairs facing each other.

we select one set, and thus the number of ways is 5 ways.

Now the girls can be seated on these four in 4! Ways.

6 boys can be seated on the remaining four chairs in 6! Ways.

Hence, the total number of ways is given by,

5\times 4!\times 5!=14400

Therefore, the number of ways in which the girls and the boys are seated on the chair is 14400 ways.

Posted by

Rishi

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