l 7 Combinations of 6

Enter n

Enter r

  

Answer
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7C6 = 7

↓Steps Explained:↓



Evaluate the combination:

7C6

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 = 7 and r = 6

7C6  2  7!
  6!(7 - 6)!

Factorial Formula:

n! = n * (n - 1) * (n - 2) * .... * 2 * 1

Calculate the numerator n!:

n! = 7!

7! = 7 x 6 x 5 x 4 x 3 x 2 x 1

7! = 5,040

Calculate (n - r)!:

(n - r)! = (7 - 6)!

(7 - 6)! = 1!

1! = 1

1! = 1

Calculate r!:

r! = 6!

6! = 6 x 5 x 4 x 3 x 2 x 1

6! = 720

Calculate 7C6

7C6  =  5,040
  720 x 1

7C6  =  5,040
  720

Final Answer

7C6 = 7

Related Calculators:  Factorials  |  Multiplication Property Of Inequality  |  Multiplication Array
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