Evaluate the combination:
40C3
A unique order or arrangement
nCr = | n! |
r!(n - r)! |
where n is the number of items
r is the unique arrangements.
40C3 2 | 40! |
3!(40 - 3)! |
n! = n * (n - 1) * (n - 2) * .... * 2 * 1
n! = 40!
40! = 40 x 39 x 38 x 37 x 36 x 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
40! = 815,915,283,247,897,683,795,548,521,301,193,790,359,984,930,816
(n - r)! = (40 - 3)!
(40 - 3)! = 37!
37! = 37 x 36 x 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
37! = 13,763,753,091,226,343,102,992,036,262,845,720,547,033,088
r! = 3!
3! = 3 x 2 x 1
3! = 6
40C3 = | 815,915,283,247,897,683,795,548,521,301,193,790,359,984,930,816 |
6 x 13,763,753,091,226,343,102,992,036,262,845,720,547,033,088 |
40C3 = | 815,915,283,247,897,683,795,548,521,301,193,790,359,984,930,816 |
82,582,518,547,358,058,617,952,217,577,074,323,282,198,528 |
40C3 = 9,880
40C3 = 9,880
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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