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Combination Probability Solution

STEP 0: Pre-Calculation Summary
Formula Used
combination_probability = (n Set)!/((r Items)!*(n Set-r Items)!)
nCr = (n)!/((r)!*(n-r)!)
This formula uses 2 Variables
Variables Used
n Set- n Set is the total number of the available sets from which items will be selected.
r Items- r Items are the total items that can be selected from the available set.
STEP 1: Convert Input(s) to Base Unit
n Set: 20 --> No Conversion Required
r Items: 9 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
nCr = (n)!/((r)!*(n-r)!) --> (20)!/((9)!*(20-9)!)
Evaluating ... ...
nCr = 167960
STEP 3: Convert Result to Output's Unit
167960 --> No Conversion Required
FINAL ANSWER
167960 <-- Combination Probability (nCr)
(Calculation completed in 00.016 seconds)

1 Other formulas that you can solve using the same Inputs

Binomial Probability
binomial_probability = Combination Probability (nCr)*((Probability of Success)^r Items)*((Probability of Failure)^(n Set-r Items)) Go

Combination Probability Formula

combination_probability = (n Set)!/((r Items)!*(n Set-r Items)!)
nCr = (n)!/((r)!*(n-r)!)

What is Combination Probability?

Combination Probability is the number of ways of selecting r items from a set of n. A combination is an unordered collection of unique elements. Given the set, n, of all possible unique elements, a combination is a subset of the elements of n. The order of the elements in a combination is not important. Additionally, the elements cannot be repeated in a combination (i.e., every element appears once); this is often referred to as "without replacement/repetition".

How to Calculate Combination Probability?

Combination Probability calculator uses combination_probability = (n Set)!/((r Items)!*(n Set-r Items)!) to calculate the Combination Probability (nCr), Combination Probability is the number of ways of selecting r items from a set of n. Combination Probability (nCr) and is denoted by nCr symbol.

How to calculate Combination Probability using this online calculator? To use this online calculator for Combination Probability, enter n Set (n) and r Items (r) and hit the calculate button. Here is how the Combination Probability calculation can be explained with given input values -> 167960 = (20)!/((9)!*(20-9)!) .

FAQ

What is Combination Probability?
Combination Probability is the number of ways of selecting r items from a set of n and is represented as nCr = (n)!/((r)!*(n-r)!) or combination_probability = (n Set)!/((r Items)!*(n Set-r Items)!) . n Set is the total number of the available sets from which items will be selected and r Items are the total items that can be selected from the available set.
How to calculate Combination Probability?
Combination Probability is the number of ways of selecting r items from a set of n is calculated using combination_probability = (n Set)!/((r Items)!*(n Set-r Items)!) . To calculate Combination Probability, you need n Set (n) and r Items (r). With our tool, you need to enter the respective value for n Set and r Items and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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