Crop Image

×

Crop

Answer

↓Steps Explained:↓

Evaluate the combination:

₉C₃

Combination Definition:

A unique order or arrangement

Combination Formula:

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

Plug in n = 9 and r = 3

Factorial Formula:

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

Calculate the numerator n!:

n! = 9!

9! = 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1

9! = 362,880

Calculate (n - r)!:

(n - r)! = (9 - 3)!

(9 - 3)! = 6!

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

6! = 720

Calculate r!:

r! = 3!

3! = 3 x 2 x 1

3! = 6

Calculate ₉C₃

Final Answer