7 Combinations of 6
Evaluate the combination:
6 Combination Definition:
A unique order or arrangement
is the number of items
is the unique arrangements.
Plug in n = 7 and r = 6 Factorial Formula: n! = n * (n - 1) * (n - 2) * .... * 2 * 1 Calculate the numerator n!: n
! = 7 x 6 x 5 x 4 x 3 x 2 x 1
! = 5,040
Calculate (n - r)!:
)! = (
(7 - 6)! = 1!
1! = 1
1! = 1
Calculate r!: r
! = 6 x 5 x 4 x 3 x 2 x 1
! = 720
Calculate 7C 6 See Answer Excel or Google Sheets formula: =COMBIN(7,6)
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 = nP r Number of combination(s) of n items arranged in r unique ways = nC r including subsets of sets This calculator has 2 inputs.
What 2 formulas are used for the Permutations and Combinations Calculator?
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What 4 concepts are covered in the Permutations and Combinations Calculator?
combination a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter nP r = n!/r!(n - r)! factorial The product of an integer and all the integers below it permutation a way in which a set or number of things can be ordered or arranged. nP r = n!/(n - r)! permutations and combinations
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