# How many positive integers less than 1000 are there having each digit distinct and odd?

Table of Contents

- 1 How many positive integers less than 1000 are there having each digit distinct and odd?
- 2 What is the distinct digit?
- 3 How many positive integers of at most 3 digits are there such that the product of their digits is 30?
- 4 How many positive integers between 100 and 999 Inclusible by 7 are non divisible by 11 B are odd C have distinct digits?

## How many positive integers less than 1000 are there having each digit distinct and odd?

odd, even, even: 5 · 5 · 4 = 100 Case 3. even, odd, even: 4 · 5 · 4 = 80 Case 4. even, even, even: 4 · 4 · 3 = 48 The total number of even 3-digit integers with distinct digits is 100+100+80+48 = 328. So the total number of even integers less than 1000 with distinct digits is 4 + 41 + 328 = 373.

**How many positive integers less than 10000 are?**

Numbers formed by {2,3,5,7} = 4! Numbers formed by {1,6,5,7} = 4! Numbers formed by {6,5,7} = 3! ∴ There are 54 positive numbers less than 10,000 are such that the product of their digits is 210.

**How many positive integers less than 1000 A are divisible by 7 B are divisible by 7 but not by 11 C are divisible by both 7 and 11 d are divisible by either 7 or 11?**

Step-by-step explanation: ==> The number of positive integers divisible by 7 but not by 11 is 142 – 12 = 130. ==>the number of positive integers less than 1000 that are divisible by either 7 or 11 is 142 + 90 – 12 = 220.

### What is the distinct digit?

Answer: In math, the term distinct number is used to refer to a number in a set that is not equal to another number. For example, the set of numbers {1, 2} contains the two distinct numbers 1 and 2, which can be proven by evaluating di. kvargli6h and 5 more users found this answer helpful.

**How many integers between 100 and 1000 consists of distinct odd digits?**

648 numbers are there between 100 and 1000 in which all the digits are distinct.

**How many positive integers less than 1000 have distinct digits and are even?**

even, even, even: 4 · 4 · 3 = 48 The total number of even 3-digit integers with distinct digits is 100+100+80+48 = 328. So the total number of even integers less than 1000 with distinct digits is 4 + 41 + 328 = 373.

#### How many positive integers of at most 3 digits are there such that the product of their digits is 30?

given abc=252. the possible options are (4,7,9)(4,9,7)(7,9,4)(7,4,9)(9,7,4)(9,4,7)(6,7,6) (6,6,7)(7,6,6) hence there are 9 possibilities.

**How many positive integers less than 10000 are such that the sum of their digits is 8?**

Total of 56 such integers.

**How many positive integers less than 100 are?**

There are 16 positive integers less then 100 written with only those digits.

## How many positive integers between 100 and 999 Inclusible by 7 are non divisible by 11 B are odd C have distinct digits?

Therefore, there are 128 integers divisible by 7.

**What are distinct integers?**

It means non repeated values i.e one value should be once in the series of pattern. 1,2,3,4,5,6,7,8,9,11,12 and 1,5,8,7,9,3,6 those are distinct positive integers. If I mention same integer again i.e non distinct integer.

**How many 3 digit odd positive integers with distinct digits are there?**

Thus there are 60, 3 digit numbers, with distinct digits, with each of the digits odd.