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Question -

How many three-digit numbers are there with no digit repeated?



Answer -

Let us assume we havethree boxes.

The first box can befilled with any one of the nine digits (0 not allowed at first place).

So, the possibilitiesare┬а9C1

The second box can befilled with any one of the nine digits

So the availablepossibilities are┬а9C1

The third box can befilled with any one of the eight digits

So the availablepossibilities are┬а8C1

Hence, the totalnumber of possible outcomes are┬а9C1┬а├Ч┬а9C1┬а├Ч┬а8C1┬а=9 ├Ч 9 ├Ч 8 = 648.

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