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Question

Question: If the best and the worst paper never appear together, then six examination papers can be arranged i...

If the best and the worst paper never appear together, then six examination papers can be arranged in how many ways.

A

120

B

480

C

240

D

None of these

Answer

480

Explanation

Solution

If the best and the worst appear always together, the number of ways 56mu!6mu×25\mspace{6mu}!\mspace{6mu} \times 2. Therefore required number of ways 6mu66mu!6mu56mu!6mu×2=480\mspace{6mu} 6\mspace{6mu}!\mspace{6mu} - 5\mspace{6mu}!\mspace{6mu} \times 2 = 480.