10 students are to be seated in two rows equally for the Mock test in a room. There are two sets of papers, Code A and Code B. each of two rows can have only one set of paper but different that from other row. In how many ways these students can be arranged ?

A) 2775600 B) 125600 C) 7257600 D) 1200560 E) None of these

Answer & Solution

Correct Answer: Option C

5 students can be seated out of 10 students in ¹⁰C₅ ways
Remaining 5 will be seated in,
= ⁵C₅ ways
Students of each row can be arranged as,
= 5! × 5! ways
Two sets of paper can be arranged themselves in,
= 2! ways
Thus, Total arrangement,
= ¹⁰C₅ × 5! × 5! × 2
= 7257600

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10 students are to be seated in two rows equally for...

10 students are to be seated in two rows equally for the Mock test in a room. There are two sets of papers, Code A and Code B. each of two rows can have only one set of paper but different that from other row. In how many ways these students can be arranged ?

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