write the smallest 6 digit number having 3 different digits without using 0
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The smallest 3 different digits are 0,1 and 2. Clearly, we have to form the smallest 6 digit number using the digits 0,1 and 2, which is possible only if we repeat the smallest digit i.e. 0. So, the required number of times i.e. 4 times. Clearly such a number is 100002.
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