For the following exercises, compute the value of the expression. C(12, 4)

For the following exercises, compute the value of the expression.

C(12, 4)

Expert Solution

Consider the expression C(12, 4)

Use the general formula for combination,

C(n, r) = n!/r!(n – r)! ...... (1)

Substitute n = 12 and r = 4 in formula (1) C(n, r) = n!/r!(n – r)! and simplify,

C(12, 4) = 12!/4!(12 – 4)!

= 12!/4! × 8!

= (12 × 11 × 10 × 9 × 8!)/(4 × 3 × 2 × 1 × 8!)

= 495

Therefore, the value of the given expression is C(12, 4) = 495.

Junaid answered 1 year ago

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