How many three-digit numbers are there?

Given: The three-digit number is required


Assume we have three boxes, first box can be filled with any one of the nine digits (zero not allowed at first position) therefore possibilities are 9C1, the second box can be filled with any one of the ten digits available possibilities are 10C1, third box can be filled with any one of the ten digits available possibilities are 10C1.


Hence number of total outcomes possible are 9C1 × 10C1 × 10C1 = 9 × 10 × 10 = 900


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