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In how many ways 12 boys can be seated on 10 chairs in a row so that two particular boys always take seats of their choice.

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In how many ways 12 boys can be seated on 10 chairs in a row so that two particular boys always take seats of their choice.

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Number of seats  

Assume two particular person sit by = 2 × 10 × 9 

= 180 ways 

8 persons sit by = 8! Ways! 

Hence total persons sit by = 180 × 8! 

= 180 × 40320 

= 7257600

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