Use a calculator to evaluate the expression.
-${ } _ { 16 } C _ { 8 }$
A) 12,870
B) 64,864,800
C) 5.189 × 108
D) 25,740

Name: Use a calculator to evaluate the expression. -${ } _ { 16 } C _ { 8 }$ A) 12,870 B) 64,864,800 C) 5.189 × 108 D) 25,740
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Question

Quizplus · Accepted Answer

${ } _ { 16 } C _ { 8 }$ calculates the number of ways to choose 8 items out of 16, which is a combination. The formula for combinations is $C(n, k) = \frac{n!}{k!(n-k)!}$. Plugging in the numbers, ${ } _ { 16 } C _ { 8 } = \frac{16!}{8!8!}$ gives 12,870.

Use a Calculator to Evaluate the Expression 16C8{ } _ { 16 } C _ { 8 }16​C8​

Use a Calculator to Evaluate the Expression ${ } _ { 16 } C _ { 8 }$