Evaluate the combination:
70C1
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 = 70 and r = 1
| 70C1 2 | 70! |
| 1!(70 - 1)! |
Factorial Formula:
n! = n * (n - 1) * (n - 2) * .... * 2 * 1
Calculate the numerator n!:
n! = 70!
70! = 70 x 69 x 68 x 67 x 66 x 65 x 64 x 63 x 62 x 61 x 60 x 59 x 58 x 57 x 56 x 55 x 54 x 53 x 52 x 51 x 50 x 49 x 48 x 47 x 46 x 45 x 44 x 43 x 42 x 41 x 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
70! = 11,978,571,669,969,890,269,925,854,460,558,840,225,267,029,209,529,303,278,944,419,871,214,396,524,861,374,498,691,473,966,836,482,048
Calculate (n - r)!:
(n - r)! = (70 - 1)!
(70 - 1)! = 69!
69! = 69 x 68 x 67 x 66 x 65 x 64 x 63 x 62 x 61 x 60 x 59 x 58 x 57 x 56 x 55 x 54 x 53 x 52 x 51 x 50 x 49 x 48 x 47 x 46 x 45 x 44 x 43 x 42 x 41 x 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
69! = 171,122,452,428,141,297,375,735,434,272,073,448,876,652,721,480,628,511,030,304,905,066,123,383,956,194,496,253,690,059,725,733,888
Calculate r!:
r! = 1!
1! = 1
1! = 1
Calculate 70C1
| 70C1 = | 11,978,571,669,969,890,269,925,854,460,558,840,225,267,029,209,529,303,278,944,419,871,214,396,524,861,374,498,691,473,966,836,482,048 |
| 1 x 171,122,452,428,141,297,375,735,434,272,073,448,876,652,721,480,628,511,030,304,905,066,123,383,956,194,496,253,690,059,725,733,888 |
| 70C1 = | 11,978,571,669,969,890,269,925,854,460,558,840,225,267,029,209,529,303,278,944,419,871,214,396,524,861,374,498,691,473,966,836,482,048 |
| 171,122,452,428,141,297,375,735,434,272,073,448,876,652,721,480,628,511,030,304,905,066,123,383,956,194,496,253,690,059,725,733,888 |
70C1 = 70
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Excel or Google Sheets formula:
Excel or Google Sheets formula:=COMBIN(70,1)
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?
- 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
nPr = 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.
nPr = n!/(n - r)! - permutations and combinations
