Evaluate the expression.
-$$\left( \begin{array} { l }
4 \
1
\end{array} \right)$$
A) $\frac { 4 } { 3 }$
B) 4
C) 1
D) 4 !

Question

Evaluate the expression.
-$$\left( \begin{array} { l } 
4 \
1
\end{array} \right)$$
A) $\frac { 4 } { 3 }$
B) 4
C) 1
D) 4 !

Quizplus · Accepted Answer

The expression $\left( \begin{array} { l } 4 \ 1 \end{array} \right)$ represents a combination, which calculates how many ways you can choose 1 item out of 4. The formula for combinations is $\frac{n!}{r!(n-r)!}$, where $n$ is the total number of items, and $r$ is the number of items to choose. For this expression, it simplifies to $\frac{4!}{1!(4-1)!} = \frac{4!}{1!3!} = \frac{4 \times 3 \times 2 \times 1}{(3 \times 2 \times 1)(1)} = 4$, so the correct answer is 4.

Evaluate the Expression (41)\left( \begin{array} { l } 4 \\1\end{array} \right)(41​)

Evaluate the Expression $\left( \begin{array} { l } 4 \\1\end{array} \right)$