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

## 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.

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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.

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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.

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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.