Answer: 392
Step-by-step explanation:
Le A denotes the number of students takes calculus .
and B denotes the number of students takes discrete mathematics .
Given: There are 336 students in a college who have taken a course in calculus, 227 who have take a course in discrete mathematics, and 171 who have taken a course in both calculus and discrete mathematics.
i.e. n(A)= 336 , n(B)=227
and n(A and B)=n(A∩B) =171
Using formula : n(A∪B)=n(A)+n(B)+n(A∩B)
⇒ n(A∪B)=336+227-171=392
Hence, the number of students at this college have taken a course in either calculus or discrete mathematics = 392
