# Number of n digit numbers that do not contain 9

Given a number n, find how many n digit number can be formed that does not contain 9 as it’s digit.

Examples:

Input : 1 Output : 8 Explanation : Except 9, all numbers are possible Input : 2 Output : 72 Explanation : Except numbers from 90 - 99 and all two digit numbers that does not end with 9 are possible.

Total numbers of n digit number that can be formed will be 9*10^(n-1) as except first position all digits can be filled with 10 numbers (0-9). If a digit 9 is eliminated from the list then total number of n digit number will be 8*9^(n-1).

Below is the implementation of above idea:

## C++

`// CPP program to find number of n ` `// digit numbers that do not ` `// contain 9 as it's digit ` `#include <bits/stdc++.h> ` `using` `namespace` `std; ` ` ` `// function to find number of ` `// n digit numbers possible ` `int` `totalNumber(` `int` `n) ` `{ ` ` ` `return` `8*` `pow` `(9, n - 1); ` `} ` ` ` `// driver function ` `int` `main() ` `{ ` ` ` `int` `n = 3; ` ` ` `cout << totalNumber(n); ` ` ` `return` `0; ` `} ` |

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## Java

`// Java program to find number of ` `// n digit numbers that do not ` `// contain 9 as it's digit ` `import` `java.io.*; ` ` ` `public` `class` `GFG ` `{ ` ` ` `// function to find number of ` `// n digit numbers possible ` `static` `int` `totalNumber(` `int` `n) ` `{ ` ` ` `return` `8` `* (` `int` `)Math.pow(` `9` `, n - ` `1` `); ` `} ` ` ` ` ` `// Driver Code ` ` ` `static` `public` `void` `main (String[] args) ` ` ` `{ ` ` ` `int` `n = ` `3` `; ` ` ` `System.out.println(totalNumber(n)); ` ` ` ` ` `} ` `} ` ` ` `// This code is contributed by vt_m. ` |

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## Python3

`# python program to find number of n ` `# digit numbers that do not ` `# contain 9 as it's digit ` ` ` `# function to find number of ` `# n digit numbers possible ` `def` `totalNumber(n): ` ` ` ` ` `return` `8` `*` `pow` `(` `9` `, n ` `-` `1` `); ` ` ` `# driver function ` `n ` `=` `3` `print` `(totalNumber(n)) ` ` ` `# This code is contributed by Sam007 ` |

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## C#

`// C# program to find number of ` `// n digit numbers that do not ` `// contain 9 as it's digit ` `using` `System; ` ` ` `public` `class` `GFG ` `{ ` ` ` `// function to find number of ` `// n digit numbers possible ` `static` `int` `totalNumber(` `int` `n) ` `{ ` ` ` `return` `8 * (` `int` `)Math.Pow(9, n - 1); ` `} ` ` ` ` ` `// Driver Code ` ` ` `static` `public` `void` `Main () ` ` ` `{ ` ` ` `int` `n = 3; ` ` ` `Console.WriteLine(totalNumber(n)); ` ` ` ` ` `} ` `} ` ` ` `// This code is contributed by vt_m. ` |

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## php

`<?php ` `// php program to find number of n ` `// digit numbers that do not ` `// contain 9 as it's digit ` ` ` `// function to find number of ` `// n digit numbers possible ` `function` `totalNumber(` `$n` `) ` `{ ` ` ` `return` `8 * pow(9, ` `$n` `- 1); ` `} ` ` ` `// driver function ` `$n` `= 3; ` `print` `(totalNumber(` `$n` `)) ` ` ` `// This code is contributed by Sam007 ` `?> ` |

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Output:

648

This article is contributed by **Dibyendu Roy Chaudhuri**. If you like GeeksforGeeks and would like to contribute, you can also write an article using contribute.geeksforgeeks.org or mail your article to contribute@geeksforgeeks.org. See your article appearing on the GeeksforGeeks main page and help other Geeks.

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