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Question
How many three digit numbers can be formed by using the digits 0, 1, 3, 5, 7 while each digit may be repeated any number of times?
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Solution
Since the hundred's place cannot be zero, it can be filled by any of the 4 digits (1, 3, 5 and 7).
∴ Number of ways of filling the hundred's place = 4
Since the digits can be repeated in the number, the ten's place and the unit's place can each be filled in 5 ways.
∴ Total numbers = `4xx5xx5=100`
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