# 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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