Choose the one alternative that best completes the statement or answers the question.
Evaluate the expression.
-$\left( \begin{array} { c } 263 \ 3 \end{array} \right)$
A) 260
B) $\frac { 263 ! } { 260 ! }$
C) $2,997,411$
D) $17,984,466$

Question

Quizplus · Accepted Answer

The expression $\left( \begin{array} { c } 263 \ 3 \end{array} \right)$ represents a combination, which calculates the number of ways to choose 3 items out of 263 without regard to order. It is evaluated as $\frac{263!}{3!(263-3)!} = \frac{263!}{3! \cdot 260!}$. Simplifying this gives $2,997,411$.

Choose the One Alternative That Best Completes the Statement or Answers