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How many words can be formed from the letters of the word 'TRIANGLES'. If 'N' is always in the middle?

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To solve the problem of how many words can be formed from the letters of the word 'TRIANGLES' with the condition that 'N' is always in the middle, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Letters**: The word 'TRIANGLES' consists of 9 letters: T, R, I, A, N, G, L, E, S. 2. **Fix 'N' in the Middle**: Since 'N' must always be in the middle, we will place 'N' in the 5th position of our arrangement. This leaves us with 8 remaining letters: T, R, I, A, G, L, E, S. ...
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