Solve the following variable combination:
c(9,r)=126
Multiply from 9 to 8
9 x 8 = 72
Calculate the quotient of this result / 126
72/126 = 0.57142857142857
Multiply from 9 to 7
9 x 8 x 7 = 504
Calculate the quotient of this result / 126
504/126 = 4
Check if 4 = 1!
1 = 1
1 ≠ 4
Check if 4 = 2!
2 x 1 = 2
2 ≠ 4
Multiply from 9 to 6
9 x 8 x 7 x 6 = 3024
Calculate the quotient of this result / 126
3024/126 = 24
Check if 24 = 1!
1 = 1
1 ≠ 24
Check if 24 = 2!
2 x 1 = 2
2 ≠ 24
Check if 24 = 3!
3 x 2 x 1 = 6
6 ≠ 24
Check if 24 = 4!
4 x 3 x 2 x 1 = 24
24 = 24
r = 4
We have found an answer for r
Multiply from 9 to 5
9 x 8 x 7 x 6 x 5 = 15120
Calculate the quotient of this result / 126
15120/126 = 120
Check if 120 = 1!
1 = 1
1 ≠ 120
Check if 120 = 2!
2 x 1 = 2
2 ≠ 120
Check if 120 = 3!
3 x 2 x 1 = 6
6 ≠ 120
Check if 120 = 4!
4 x 3 x 2 x 1 = 24
24 ≠ 120
Check if 120 = 5!
5 x 4 x 3 x 2 x 1 = 120
120 = 120
r = 5
We have found an answer for r
Multiply from 9 to 4
9 x 8 x 7 x 6 x 5 x 4 = 60480
Calculate the quotient of this result / 126
60480/126 = 480
Check if 480 = 1!
1 = 1
1 ≠ 480
Check if 480 = 2!
2 x 1 = 2
2 ≠ 480
Check if 480 = 3!
3 x 2 x 1 = 6
6 ≠ 480
Check if 480 = 4!
4 x 3 x 2 x 1 = 24
24 ≠ 480
Check if 480 = 5!
5 x 4 x 3 x 2 x 1 = 120
120 ≠ 480
Multiply from 9 to 3
9 x 8 x 7 x 6 x 5 x 4 x 3 = 181440
Calculate the quotient of this result / 126
181440/126 = 1440
Check if 1440 = 1!
1 = 1
1 ≠ 1440
Check if 1440 = 2!
2 x 1 = 2
2 ≠ 1440
Check if 1440 = 3!
3 x 2 x 1 = 6
6 ≠ 1440
Check if 1440 = 4!
4 x 3 x 2 x 1 = 24
24 ≠ 1440
Check if 1440 = 5!
5 x 4 x 3 x 2 x 1 = 120
120 ≠ 1440
Check if 1440 = 6!
6 x 5 x 4 x 3 x 2 x 1 = 720
720 ≠ 1440
Multiply from 9 to 2
9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 = 362880
Calculate the quotient of this result / 126
362880/126 = 2880
Check if 2880 = 1!
1 = 1
1 ≠ 2880
Check if 2880 = 2!
2 x 1 = 2
2 ≠ 2880
Check if 2880 = 3!
3 x 2 x 1 = 6
6 ≠ 2880
Check if 2880 = 4!
4 x 3 x 2 x 1 = 24
24 ≠ 2880
Check if 2880 = 5!
5 x 4 x 3 x 2 x 1 = 120
120 ≠ 2880
Check if 2880 = 6!
6 x 5 x 4 x 3 x 2 x 1 = 720
720 ≠ 2880
Multiply from 9 to 1
9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 362880
Calculate the quotient of this result / 126
362880/126 = 2880
Check if 2880 = 1!
1 = 1
1 ≠ 2880
Check if 2880 = 2!
2 x 1 = 2
2 ≠ 2880
Check if 2880 = 3!
3 x 2 x 1 = 6
6 ≠ 2880
Check if 2880 = 4!
4 x 3 x 2 x 1 = 24
24 ≠ 2880
Check if 2880 = 5!
5 x 4 x 3 x 2 x 1 = 120
120 ≠ 2880
Check if 2880 = 6!
6 x 5 x 4 x 3 x 2 x 1 = 720
720 ≠ 2880
Final Answer
What is the Answer?
How does the Combination with Variable Calculator work?
Solves for r given n and the combination value.
Solves for n given r and the combination value
This calculator has 1 input.
What 2 formulas are used for the Combination with Variable Calculator?
nCr=n!/r!(n-r)!
What 3 concepts are covered in the Combination with Variable 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
- variable
- Alphabetic character representing a number
