Evaluate the combination:
2C1
Combination Definition:
A unique order or arrangement
Combination Formula:
| nCr = | n! |
| r!(n - r)! |
where n is the number of items
r is the unique arrangements.
Plug in n = 2 and r = 1
| 2C1 2 | 2! |
| 1!(2 - 1)! |
Factorial Formula:
n! = n * (n - 1) * (n - 2) * .... * 2 * 1
Calculate the numerator n!:
n! = 2!
2! = 2 x 1
2! = 2
Calculate (n - r)!:
(n - r)! = (2 - 1)!
(2 - 1)! = 1!
1! = 1
1! = 1
Calculate r!:
r! = 1!
1! = 1
1! = 1
Calculate 2C1
| 2C1 = | 2 |
| 1 x 1 |
| 2C1 = | 2 |
| 1 |
2C1 = 2
Excel or Google Sheets formula:
=COMBIN(2,1)What is the Answer?
How does the Permutations and Combinations Calculator work?
Free Permutations and Combinations Calculator - Calculates the following:
Number of permutation(s) of n items arranged in r ways = nPr
Number of combination(s) of n items arranged in r unique ways = nCr including subsets of sets
This calculator has 2 inputs.
What 2 formulas are used for the Permutations and Combinations Calculator?
nPr=n!/r!nCr=n!/r!(n-r)!
For more math formulas, check out our Formula Dossier
What 4 concepts are covered in the Permutations and Combinations Calculator?
combinationa mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matternPr = n!/r!(n - r)!factorialThe product of an integer and all the integers below itpermutationa way in which a set or number of things can be ordered or arranged.
nPr = n!/(n - r)!permutations and combinations
Example calculations for the Permutations and Combinations Calculator
Permutations and Combinations Calculator Video
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