For the following exercises, compute the value of the expression. C(26, 3)

Solutions

Expert Solution

Consider the expression C(26, 3).

Use the general formula for combination,

C(n, r) = n!/r!(n – r)! ...... (1)

Substitute n = 26 and r = 3 in formula (1) C(n, r) = n!/r!(n – r)! and simplify,

C(26, 3) = 26!/3!(26 – 3)!

= 26!/3! × 23!

= (26 × 25 × 24 × 23!)/(3 × 2 × 1 × 23!)

= 2600

Therefore, the value of the given expression is C(26, 3) = 2600.

Junaid answered 1 year ago

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