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Question -

How many three-digit numbers are there?



Answer -

Let us assume we havethree boxes.

The first box can befilled with any one of the nine digits (zero not allowed at first position)

So, possibilitiesare 9C1

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

So the availablepossibilities are 10C1

Third box can befilled with any one of the ten digits

So the availablepossibilities are 10C1

Hence, the totalnumber of possible outcomes are 9C1 × 10C1 × 10C1 =9 × 10 × 10 = 900.

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