Answer:
a. 80 students
b. 92 students
Step-by-step explanation:
Designate arts students as A and dance students as D.
Thus, we have,[['[TAG_14]]
n(A) = 35
n(D) = 57
Required
To determine n(A or D)
For (a):
We find that:
n(A and D) = 12
The calculation for n(A or D) is as follows:
n(A or D) = n(A) + n(D) - n(A and D)
n(A or D) = 35 + 57 - 12
n(A or D) = 80
b. Given the details
n(A and D) = 0 since no students are enrolled in both classes as indicated in (a)
Using the same formula as in (a).
n(A or D) = n(A) + n(D) - n(A and D)
n(A or D) = 35 + 57 - 0
n(A or D) = 92
