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Answer

↓Steps Explained:↓

Evaluate the combination:

₁₁C₄

Combination Definition:

A unique order or arrangement

Combination Formula:

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

Plug in n = 11 and r = 4

Factorial Formula:

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

Calculate the numerator n!:

n! = 11!

11! = 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1

11! = 39,916,800

Calculate (n - r)!:

(n - r)! = (11 - 4)!

(11 - 4)! = 7!

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

7! = 5,040

Calculate r!:

r! = 4!

4! = 4 x 3 x 2 x 1

4! = 24

Calculate ₁₁C₄

Final Answer