Evaluate the expression.
-$\frac { { } _ { 7 } C _ { 4 } } { { } _ { 7 } C _ { 2 } }$
A) $\frac { 1 } { 12 }$
B) $\frac { 1 } { 2 }$
C) $\frac { 5 } { 3 }$
D) $\frac { 3 } { 5 }$

Question

Quizplus · Accepted Answer

The expression simplifies to $\frac{{7! / (4! \cdot 3!)}}{{7! / (2! \cdot 5!)}}$, which reduces to $\frac{5! \cdot 2!}{3! \cdot 5!} = \frac{2!}{3!} = \frac{2}{6} = \frac{1}{3}$. However, the correct simplification should be $\frac{35}{21} = \frac{5}{3}$.

Evaluate the Expression 7C47C2\frac { { } _ { 7 } C _ { 4 } } { { } _ { 7 } C _ { 2 } }7​C2​7​C4​​

Evaluate the Expression $\frac { { } _ { 7 } C _ { 4 } } { { } _ { 7 } C _ { 2 } }$