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Introduction: Data

23 students o...

Question

23 students of a class are arranged in such a way that the front row consists of 15 girls and the second-row consists of 8 boys. The two corner positions of the second-row are reserved for the 2 tallest boys. In how many ways can the students be arranged?

A

2!*13!*8!

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B

2!*15!*6!

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C

2!*14!*7!

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D

None of these

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Solution

The correct option is B
2!15!6!

The number of ways in which this can be done is 2!15!6!.

15! is the no. of arrangements of the girls, 2! is the no. of arrangement s of the 2 tallest boys and 6! is the no. of arrangements of the remaining 6 boys.

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