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Question -

How many three-digit odd numbers are there?



Answer -

We know that in oddnumbers, the last digit consists of (1, 3, 5, 7, 9).

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 the possibilitiesare 9C1

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

So the availablepossibilities are 10C1

The third box can befilled with any one of the five digits (1,3,5,7,9)

So the availablepossibilities are 5C1

Hence, the totalnumber of possible outcomes are 9C1 × 10C1 × 5C1 =9 × 10 × 5 = 450

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