13 Combinations of 13

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Evaluate the combination:

₁₃C₁₃

Combination Definition:

A unique order or arrangement

Combination Formula:

where n is the number of items
r is the unique arrangements.

Plug in n = 13 and r = 13

Factorial Formula:

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

Calculate the numerator n!:

n! = 13!

13! = 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

13! = 6,227,020,800

Calculate (n - r)!:

(n - r)! = (13 - 13)!

(13 - 13)! = 0!

0! =

0! = 1

Calculate r!:

r! = 13!

13! = 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

13! = 6,227,020,800

Calculate ₁₃C₁₃

Final Answer