Calculate the binomial coefficient. ${ } _ { 18 } C _ { 0 }$
A)2
B)3
C)1
D)4
E)0

Name: Calculate the binomial coefficient. ${ } _ { 18 } C _ { 0 }$ A)2 B)3 C)1 D)4 E)0
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Question

Calculate the binomial coefficient.   ${ } _ { 18 } C _ { 0 }$  
A)2
B)3
C)1
D)4
E)0

Quizplus · Accepted Answer

The binomial coefficient ${ } _ { n } C _ { k }$ is defined as the number of ways to choose k elements out of a set of n elements, and it is given by the formula $\frac{n!}{k!(n-k)!}$. For ${ } _ { 18 } C _ { 0 }$, this simplifies to $\frac{18!}{0!(18-0)!} = \frac{18!}{18!} = 1$, since 0! = 1 by definition.

Calculate the Binomial Coefficient 18C0{ } _ { 18 } C _ { 0 }18​C0​

Calculate the Binomial Coefficient ${ } _ { 18 } C _ { 0 }$