Table of Contents

- 1 How many numbers can be formed with 5 digits?
- 2 How many five digit numbers can be formed from the digits 12345?
- 3 How many 5 digit numbers can be formed with the digits 9876543210?
- 4 How many even numbers of 5 digits can be formed with the digits 1 2 3 4 and 5?
- 5 How many 5 digit numbers can be formed using the digits from 0 to 9 without repetition?

## How many numbers can be formed with 5 digits?

There are 90,000 five-digit numbers in all. The digit at the ten thousand place in a 5-digit number can never be 0.

**How many 5 digit numbers can be formed by using the digits 1,2 3 so that each digit appears at least once?**

+ 5!/(3!)) = 120. But the answer is 90.

### How many five digit numbers can be formed from the digits 12345?

= 120. But the sum of digits (= 1 + 2 + 3 + 4 + 5 = 15) of any number formed is divisible by 3. It means all 120 numbers formed are divisible by 3.

**How many 5 digit numbers can be formed from the digits 1,2 3 4 and 5 if repetition of digits is not allowed?**

Total Number of Numbers which can be formed by numbers 1,2,3,4,5 (without repeating digitsi) = 5*4*3*2*! = 5! = 120. Now, in half them unit’s digit will be bigger than the ten’s digit and in half of them it will be smaller.

#### How many 5 digit numbers can be formed with the digits 9876543210?

a) Consider 9876543210. You need to choose five of these digits to make your number. There are thus (105)=252 options. b) Consider the 9-length string 111111111 with 5 markers inserted, eg A11BC111D1111E.

**How many numbers of up to 5 digits can be created using the digits 1,2 3 and 5 each at least once such that they are a multiple of?**

There are 12 possibilities overall. The question is “How many numbers of up to 5 digits can be created using the digits 1, 2, 3 and 5 each at least once such that they are a multiple of 15?”

## How many even numbers of 5 digits can be formed with the digits 1 2 3 4 and 5?

Further, to ensure that the number is even we ensure that in the unit’s place, the digits can only be 2 or 4. Hence, there are 48 four digit even numbers that can be formed using the digits 1, 2, 3, 4, 5 if no digit is repeated.

**How many 5 digit numbers can be formed which are divisible by 3?**

Question: A five digit number divisible by 3 is to be formed using the digits 0,1,2,3,4 and 5, without repetition. The total number of ways this can be done, is. A. 216.

### How many 5 digit numbers can be formed using the digits from 0 to 9 without repetition?

Now, there are 105 ways in which the digits 0-9 can be chosen for the five places of a five digit number. Out of these, 104 start with zero (once we start with 0, there are only 4 slots to fill, where we have 10 choices each).

**How many 5 digit numbers can be made from the digits 1 to 7 repetition is allowed?**

How many five-digit numbers can be made from the digits 1 to 7 if repetition is allowed? Explanation: 75 = 16807 ways of making the numbers consisting of five digits if repetition is allowed.