Name: SAT Math Help & School Math Mastery
Availability: InStock

The number $2132$ is expressed in the form $\frac{a _{1} ! a _{2} ! \dots a _{m} !}{b _{1} ! b _{2} ! \dots b _{n} !}$ where $a_{1} \geq a_{2} \geq \dots \geq a_{m}$ and $b_{1} \geq b_{2} \geq \dots \geq b_{n}$ are positive integers and $a_{1} + b_{1}$ is as small as possible. What is $∣ a_{1} - b_{1} ∣$ ?