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Question
How many three-digit numbers are there with no digit repeated?
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Solution
The thousand's place cannot be zero.
∴ Number of ways of selecting the thousand's digit = 9
Number of ways of selecting the ten's digit = 9 ( as repetition of digits is not allowed and one digit has already been used in the thousand's place)
Similarly, number of ways of selecting the unit's digit = 8 (as two digits have been used for the thousand's and the ten's places)
∴ Total three digit number that can be formed = 9\[\times\]9\[\times\]8 = 648
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