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In a railway compartment there are 2 rows of seats facing...

This question belongs to Arithmetic Ability Permutation And Combination
Permutation and Combination
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In a railway compartment, there are 2 rows of seats facing each other with accommodation for 5 in each, 4 wish to sit facing forward and 3 facing towards the rear while 3 others are indifferent. In how many ways can the 10 passengers be seated?

Answer & Solution
Correct Answer: Option D
The four person who wish to sit facing forward can be seated in: 5P4 ways and 3 who wish to sit facing towards the rear can be seated in: 5P3 ways and the remaining 3 can be seated in the remaining 3 seats in 3P3 ways.
Total number of ways
= 5P4 × 5P3 × 3P3
= 43200
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