Evaluate the combination:
35C7
A unique order or arrangement
nCr = | n! |
r!(n - r)! |
where n is the number of items
r is the unique arrangements.
35C7 2 | 35! |
7!(35 - 7)! |
n! = n * (n - 1) * (n - 2) * .... * 2 * 1
n! = 35!
35! = 35 x 34 x 33 x 32 x 31 x 30 x 29 x 28 x 27 x 26 x 25 x 24 x 23 x 22 x 21 x 20 x 19 x 18 x 17 x 16 x 15 x 14 x 13 x 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
35! = 10,333,147,966,386,144,222,209,170,348,167,175,077,888
(n - r)! = (35 - 7)!
(35 - 7)! = 28!
28! = 28 x 27 x 26 x 25 x 24 x 23 x 22 x 21 x 20 x 19 x 18 x 17 x 16 x 15 x 14 x 13 x 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
28! = 304,888,344,611,713,836,734,530,715,648
r! = 7!
7! = 7 x 6 x 5 x 4 x 3 x 2 x 1
7! = 5,040
35C7 = | 10,333,147,966,386,144,222,209,170,348,167,175,077,888 |
5,040 x 304,888,344,611,713,836,734,530,715,648 |
35C7 = | 10,333,147,966,386,144,222,209,170,348,167,175,077,888 |
1,536,637,256,843,037,663,958,540,862,095,360 |
35C7 = 6,724,520
35C7 = 6,724,520
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
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