How many three-digit odd numbers are there?

Asked by Aaryan | 1 year ago |  38

##### Solution :-

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

Let us assume we have three boxes.

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

So the possibilities are 9C1

The second box can be filled with any one of the ten digits

So the available possibilities are 10C1

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

So the available possibilities are 5C1

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

Answered by Sakshi | 1 year ago

### Related Questions

#### How many words each of 3 vowels and 2 consonants can be formed from the letters of the word INVOLUTE?

How many words each of 3 vowels and 2 consonants can be formed from the letters of the word INVOLUTE?

#### Find the number of permutations of n distinct things taken r together, in which 3 particular things must occur together.

Find the number of permutations of n distinct things taken r together, in which 3 particular things must occur together.

#### How many words, with or without meaning can be formed from the letters of the word ‘MONDAY’,

How many words, with or without meaning can be formed from the letters of the word ‘MONDAY’, assuming that no letter is repeated, if

(i) 4 letters are used at a time

(ii) all letters are used at a time

(iii) all letters are used but first letter is a vowel ?