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Six.
362,880 ways
If you have three DIFFERENT letters, you can arrange them in 3! = 1 x 2 x 3 = 6 different ways.
Since the letter of the word COMPARE are distinct, i.e. none of them repeat, then the number of different way you can arrange them is simply the number of permutations of 7 things taken 7 at a time. That is 7! or 5040.
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