How many 4 digit numbers are there whose sum is 9?
Table of Contents
How many 4 digit numbers are there whose sum is 9?
What is the total number 4 digits whose total is 9? – Quora. So there are 165 four-digit numbers with a digit-sum of 9.
What is a digit sum of 9?
| Number | Repeating Cycle of Sum of Digits of Multiples |
|---|---|
| 8 | {8,7,6,5,4,3,2,1,9} |
| 9 | {9,9,9,9,9,9,9,9,9} |
| 10 | {1,2,3,4,5,6,7,8,9} |
| 11 | {2,4,6,8,1,3,5,7,9} |
How many two digit combinations can be formed using the digits 1 to 9?
Perhaps you could explain an easier way to figure this out rather than writing all these numbers down?? Hi Angela, I also know that there are 100 combinations of two digits from 0-9, and 10 ombinations of one digit from 0-9. How do I know this?
How many 2 digit numbers are there whose sum of digits is 10?
Description for Correct answer: Let the two-digit number be 10x + y. Therefore, Required number is 73.
What is the sum of all 4-digit numbers that sum 9?
Counting the number of 4-digit numbers and sum 9 can be done using stars and bars really fast (this works because 9 is less than 10). There are 9 − 1 = 8 stars (the first number is at least 1) and 3 bars. Hence there are (8 + 3 3) = 11 ⋅ 10 ⋅ 9 3 ⋅ 2 = 11 ⋅ 5 ⋅ 3 = 165 such numbers.
What is the sum of the perfect squares of a number?
Observe that the only acceptable perfect squares are $9$ and $36$ (if the sum of the digits is $25$ then the number is not a multiple of $3$). Furthermore, $9999$ is the only number having a digits sum of $36$, and it’s also a multiple of $11$.
What number has a digits sum of $36$?
Furthermore, $9999$ is the only number having a digits sum of $36$, and it’s also a multiple of $11$. Proceed to count all the permutations of all the numbers in the interval $[1000, 10000)$ having a digits sum of $9$. This is the result. The last step is rather boring and time-consuming.
How to sum the number 9 with stars and bars?
Counting the number of 4-digit numbers and sum 9 can be done using stars and bars really fast (this works because $9$ is less than $10$). There are $9-1=8$ stars (the first number is at least $1$) and $3$ bars.