Question

(b) how many students are interested in yoga or spinning, but not pilates? there are \\(\square\\) students interested in yoga or spinning but not pilates.

Explanation:

Step1: Identify relevant regions

Select sections for Yoga only, Spinning only, and Yoga+Spinning overlap (all exclude Pilates): $2$, $4$, $6$

Step2: Sum the selected values

Add the identified numbers together.
$2 + 4 + 6 = 12$

Answer:

12