Combinations Calculator

Step-by-Step Guide to Using the Combinations Calculator

Introduction

This guide will walk you through how to use the Combinations Calculator to compute combinations and permutations based on the total number of items and the number to be selected. Follow these steps to ensure accurate results.

Step 1: Enter Total Number of Items (n)

• Locate the input field labeled “Total number of items (n)”.
• Enter a number between 0 and 100 that represents the total number of items you have. This field is required.
• Ensure that the number is a whole number since the input field accepts only integers.

Step 2: Enter Number of Items to Choose (r)

• Find the input field labeled “Number of items to choose (r)”.
• Input a number between 0 and 100 indicating the number of items you wish to select. This is also a mandatory field.
• Make sure the number is less than or equal to the total number of items (n), and it should be a whole number.

Step 3: Select the Calculation Type

• Locate the dropdown menu labeled “Calculation Type”.
• Choose between “Combinations (nCr)” and “Permutations (nPr)” based on the calculation you want to perform.
• This field is required for the calculation to proceed.

Step 4: View the Results

After entering the necessary inputs:

• The calculator will compute the factorials of n, r, and (n-r). These are represented as “n!”, “r!”, and “(n-r)!” respectively.
• If you selected “Combinations”, the result will be displayed under “Number of Combinations (nCr)”.
• If you selected “Permutations”, look for the result under “Number of Permutations (nPr)”.
• Each result will be formatted as a whole number.

Conclusion

By following these steps, you can efficiently use the Combinations Calculator to find the number of combinations or permutations for a given set of items. Ensure all inputs are accurate to obtain valid computational results.