Evaluate a Binomial Coefficient
-$$\left( \begin{array} { l }
130 \
128
\end{array} \right)$$
A) 8385
B) $\frac { 65 } { 64 }$
C) $1,073,280$
D) $\frac { 8385 } { 128 }$ 2 Expand a Binomial Raised to a Power
Use the Binomial Theorem to expand the binomial and express the result in simplified form.

Question

Evaluate a Binomial Coefficient
-$$\left( \begin{array} { l } 
130 \
128
\end{array} \right)$$
A) 8385
B) $\frac { 65 } { 64 }$
C) $1,073,280$
D) $\frac { 8385 } { 128 }$ 2 Expand a Binomial Raised to a Power
Use the Binomial Theorem to expand the binomial and express the result in simplified form.

Quizplus · Accepted Answer

The binomial coefficient $\left( \begin{array} { l } 130 \ 128 \end{array} \right)$ is calculated as $\frac{130!}{128!(130-128)!}$. This simplifies to $\frac{130 \times 129}{2}$, which equals 8385.

Evaluate a Binomial Coefficient - (130128)\left( \begin{array} { l } 130 \\128\end{array} \right)(130128​)

Evaluate a Binomial Coefficient
- $\left( \begin{array} { l } 130 \\128\end{array} \right)$