**To calculate the total number of combinations in sudoku. we can follow some easy step!!!!**

** 1. To** Understand the Basics of Combinations:

*Understand the Basics of Combinations:***1. To**##### Sudoku have 9*9 grides and these grides are divided into sub-grides of 3*3. Each row, each column and sub-grid must contains 1 to 9 numbers.

#### ** 2. Apply the permutation for each row: **

**2. Apply the permutation for each row:**

##### In the sudoku, each row has 9 elements so according to the law to permutation, there are total possibility of combinations are 9! . so when we calculate it that is equals to 362880. This accounts for all the possible arrangements of the numbers 1 to 9 without repetition.

#### **3. Permutations for the entire grid:**

**3. Permutations for the entire grid:**

##### There are total 9 grides. To know the total combinations we have to multiply 9!*9 and when we calculate it this is equals to 6.67 x 10^21 combinations and this is actually very large number.

#### **4. Note equivalent solutions.**

**4. Note equivalent solutions.**

##### Sudoku puzzles can have multiple solutions that are basically the same because of the nature of the rules. For example, swapping rows, columns, or numbers within a subgrid will not change the solution. Adjusting for these equivalent solutions reduces the total number.

#### ** 5. Divide by equivalent solutions:**

**5. Divide by equivalent solutions:**