Combination Calculator

How to Use the Combination Calculator

Welcome to the Combination Calculator guide. This guide will walk you through the steps required to calculate combinations and permutations using our calculator.

Step 1: Enter the Total Number of Items (n)

Start by entering the total number of items, denoted as n, into the first input field. This field is labeled “Total Number of Items (n)“. Ensure that the value you enter is between 0 and 100, inclusive. This field is required, and numbers are entered in steps of 1.

Step 2: Specify the Number of Items to Choose (r)

Next, input the number of items you want to choose from the total, denoted as r. Enter this value in the second field labeled “Number of Items to Choose (r)“. Similar to the previous step, the value must be between 0 and 100 and is required.

Step 3: Select the Calculation Type

The calculator offers two types of calculations: combination (nCr) and permutation (nPr). Select the desired calculation type using the third input field, labeled “Calculation Type“. This is a dropdown menu where you can choose between the two options. Selection of this field is mandatory for performing calculations.

Step 4: Review Calculated Factorials

Upon entering the necessary inputs, the calculator will automatically compute the factorial values of n!, r!, and (n-r)!. These computations are essential for obtaining the final result of either combinations or permutations.

Step 5: View the Result

Finally, check the “Result” field for the desired outcome. If you chose the combination option, the result will be calculated using the formula:
nCr = n! / (r! * (n-r)!)

If the permutation calculation was selected, the result will be computed as:
nPr = n! / (n-r)!

With these simple steps, you can efficiently use the calculator to determine combinations and permutations based on your input. Be sure to recheck your entries if the output is not as expected.