# How many 9 digits numbers can be formed using the digits 1 to 9 which is divisible by 9?

Table of Contents

- 1 How many 9 digits numbers can be formed using the digits 1 to 9 which is divisible by 9?
- 2 Is there any digit 0 9 that Cannot be the ones place digit in a number divisible by 9?
- 3 Which of the following number is divisible by 9 *?
- 4 How do you know a number is divisible by 9?
- 5 How many digits are there in a nine digit number?

## How many 9 digits numbers can be formed using the digits 1 to 9 which is divisible by 9?

So,total numbers that can be formed =8⋅8⋅7⋅6⋅5⋅4⋅3⋅2⋅1=8⋅8! When we are using digits 1 to 9, then, Total numbers that can be formed =9! So, total numbers possible with both these two cases =9!

**What is a 9 digit number divisible by 9?**

Consider the following numbers which are divisible by 9, using the test of divisibility by 9: 99, 198, 171, 9990, 3411. Sum of the digits of 99 = 9 + 9 = 18, which is divisible by 9.

**How many 9 digit numbers are possible by using the digits?**

Continuing in this manner we will get 9,9,8,7,6,5,4,3,2. Therefore, by multiplying the choices we have a total number of possibilities given by 9×9×8×7×6×5×4×3×2=3265920. Hence, 9 digit numbers of different digits can be formed in 3265920 ways.

### Is there any digit 0 9 that Cannot be the ones place digit in a number divisible by 9?

(ix) The numbers formed with 0, 2, 3, 4, 5, 6, 7, 8 and 9. Sum of these digits is 44. So, these numbers shall not be divisible by 9.

**What are divisible by 9?**

List of Numbers Divisible by 9. There are 11 numbers less than 100 that are divisible by 9: 9, 18, 27, 36, 45, 63, 72, 81, 90 and 99.

**What are numbers divisible by 9?**

## Which of the following number is divisible by 9 *?

Answer: A number is divisible by 9, if the sum is a multiple of 9 or if the sum of its digits is divisible by 9. Consider the following numbers which are divisible by 9, using the test of divisibility by 9: 99, 198, 171, 9990, 3411. Sum of the digits of 99 = 9 + 9 = 18, which is divisible by 9.

**How many 9 digit number are possible by using the digits 12345 which are divisible by 4 if the repetition is allowed?**

Answer: There are 390625 possibilities.

**How many combinations are there with 9 numbers?**

9 = 362,880, 9!* 1 = 362,880. The sum of all these permutations = 9+72+504+3.024+15,120+60,480+181,440+362.880+362,880 = 986,409 permutations of 9 digits in groups of 1, 2, 3, 4, 5, 6, 7, 8 and 9 at a time.

### How do you know a number is divisible by 9?

The sum of digits of all these numbers is itself a multiple of 9. For example, 18 is 1+8 = 9, which is divisible by 9, 27 is 2+7 = 9, which is divisible by 9, etc. So, as per the divisibility test of 9, if the sum of all the digits of a number is a multiple of 9, then the number is also divisible by 9.

**Which of these number is divisible by 9?**

**Is the sum of all your digits divisible by 9?**

The sum of all your digits is divisible by 9. So our number is divisible by 9 if and only if the two digits not chosen are 0, 9 or 1, 8, or 2, 7, or 3, 6, or 4, 5. If the two digits not chosen are 0, 9, there are 8! possible numbers. If the two digits not chosen are any of the 4 other pairs, then 0 was chosen.

## How many digits are there in a nine digit number?

Problem: Nine Digit Number. A nine-digit number is formed using each of the digits 1,2,3,…,9 exactly once.

**What is the largest even number that is divisible by 3?**

Since 7, 8 and 9 are three largest numbers we can use, 24 is the largesteven number that is divisible by 3 that the first three digits can sum to. The first three digits can also sum to 18, 12 or 6.

**What is the rule for divisibility by 8?**

This tells us that the other four positions must be filledby the odd digits. Therefore, the third digit must be odd and 4 must dividethe third and fourth digits together according the rule for divisibilityby 4. Similarly, the sixth, seventh and eighth digits together must be divisibleby eight according to the rule for divisibility by eight.