Combinations Calculator
Combinations Calculator is a free tool that displays the number of combinations in a set. Just provide the inputs n, r in the input sections, and click on the calculate button to get the combinations of a set in a fraction of seconds.
Combinations Calculator: If you aren't sure about what is a combination and how to calculate this article is going to help you a lot. Avail the handy online tool Combinations Calculator to get the output in the blink of an eye. You just need to provide the number of objects i.e. n and sample value r in the input fields to get the resultant value. Check out the formula to find Combinations, Detailed Procedure for finding the Combinations, etc. Have a glance at the solved examples and be familiar with the approach to follow while solving problems.
Detailed Steps to Calculate Combinations
Usually, Combination is nothing but the number of ways in which you can select r elements out of a set containing n objects where order doesn't matter and repetitions are not allowed. You need not write all the possible sets and can go with the formula to get the number of combinations in less time.
nCr = C(n,r) = n!/(r!(n-r)!) for n ≥ r ≥ 0
Combination using Permutation Formula is C(n, r) = P(n,r)/ r!
Where, C(n,r) is the number of Combinations
n is the total number of elements in the set
r is the number of elements chosen from the set and '!' represents the factorial.
Plugin the values of n, r in the corresponding formula, and simplify the equation further to get the number of Combinations.
Example: If you are asked to choose 5 balls from the box of 12 balls how many different ways you can choose?
Solution:
From the given input data r = 5(sample)
n=12(objects)
Combination Formula nCr = n!/(r!(n-r)!) for n ≥ r ≥ 0
Substitute the sample, objects values in the formula and the equation becomes
12C5 = 12!/(5!(12-5)!)
= 12!/(5!*7!)
= 792
Therefore, you have 792 different combinations to choose 5 balls from the box of 12 balls.
Understand different concepts similiar to combinations and get good grip on them by using online tools available at Onlinecalculator.guru and clarify your concerns.
FAQs on Combinations Calculator
1. What is the formula to calculate Combinations without repetition?
Formula to calculate Combinations without repetition is C(n,r) = n!/(r!(n-r)!)
2. How to use the Combination Calculator?
Just type the inputs i.e. 'n' number of objects and 'r' sample elements in the specified input fields and tap the calculate button to get the number of combinations.
3. Does Order matter in Combinations?
No, Order doesn't matter in Combinations.
4. What does n, r stand for in the combination formula?
n represents the total no. of items, r is the no. of items to be chosen at a time.