Answer:
22 students
Step-by-step explanation:
Given,
Total number of students = 40,
∵ Number of students who play viola = \(\frac{1}{4}\) of the total students
= \(\frac{1}{4}\times 40\)
= 10
Also, number of students who play cello = \(\frac{1}{5}\) of the total students
= \(\frac{1}{5}\times 40\)
= 8
So, the remaining students = total students - students who play viola - students who play cello
= 40 - 10 - 8
= 22
Hence, 22 students play violin.