Basic Combinatorical Watermelons
How many ways can the letters of the word WATERMELON be written? For example,
possible ways may be WATRELMONE, MELONWATER and TEWARLEMON. Let the number of ways be
. Then, what are the last 3 digits of
?
Details And Assumptions :- All letters are used once and only once.
The answer is 400.
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1 solution
W A T E R M E L O N has 1 0 letters, therefore there are 1 0 ! ways to arrange the letters. But there are two E s, and they can be arranged in 2 ways. Therefore, the answer is 1 0 ! / 2 ! = 1 8 1 4 4 0 0
The last 3 digits are 4 0 0