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The first digit has to be in the set [1-6] because, if it were zero, it would not be a three digit number. The number of combinations, not using duplicates, of three numbers from the set [0-6] is 6 times 6 times 5, or 180.

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Q: How many three digits can be formed from the digits 0 1 2 3 4 5 and 6 if each digits can be used only once?
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