Possible Combinations Calculator

How to Use the Possible Combinations Calculator

This guide will explain how to use the Possible Combinations Calculator to determine the number of possible permutations or combinations based on the input and selected options.

Step 1: Enter the Total Number of Elements

Begin by entering the total number of elements, n, that are available in your set. This value must be a number between 1 and 100. Input this number in the field labeled Total Number of Elements (n). Make sure it satisfies the required conditions.

Step 2: Enter the Number of Elements to Select

Next, indicate the number of elements, r, you wish to select from the total elements. Enter this number in the field labeled Number of Elements to Select (r). Like before, ensure this number is between 1 and 100 and meets the required criteria.

Step 3: Determine If Order Matters

Decide whether the order of selection is important for your calculation. Choose one of the following options from the dropdown labeled Does Order Matter?:

• Yes (Permutation): Select this if the order in which you select elements is important.
• No (Combination): Select this if the order does not matter.

Step 4: Decide on Repetition Allowance

Determine if repetition of elements is allowed in your selections. From the dropdown labeled Allow Repetition?, choose one of the following:

• Yes: Select this if elements can be chosen more than once.
• No: Select this if each element can be chosen only once.

Step 5: View the Results

Once all inputs and selections are made, the calculator will display the results, showing:

• Number of Possible Combinations: This field will display the calculated number of permutations or combinations based on your inputs.
• Formula Used: This field outputs the mathematical formula used for the calculation, offering insight into the process.

Ensure all input criteria are satisfied to avoid errors and obtain accurate results. Review your settings if the results do not match your expectations.