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In how many ways can the letters of the ...

In how many ways can the letters of the word PENCIL be arranged so that (i) `N` is always next to `E` ? (ii) `Na n dE` are always together?

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AI Generated Solution

To solve the question about arranging the letters of the word "PENCIL" with specific conditions, we will break it down into two parts. ### Part (i): N is always next to E 1. **Consider N and E as a single unit**: Since N must always be next to E, we can treat the combination NE as one letter. Therefore, we now have the following letters to arrange: - NE (considered as one letter) - P - C ...
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