Basic Combinatorical Watermelons

How many ways can the letters of the word WATERMELON be written? For example, \(3 \) possible ways may be WATRELMONE, MELONWATER and TEWARLEMON. Let the number of ways be \(N\) . Then, what are the last 3 digits of \(N\)?

Details And Assumptions :- All letters are used once and only once.

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