Question

PERFORMANCE TASK
Solve the problem below using a Venn diagram
In an excursion at Tagaytay, 80 students brought sandwiches, drinks, cans as follows:
50 students brought sandwiches
30 students brought drinks
30 students brought cans
18 students brought cans and drinks
15 students brought sandwiches and cans
8 students brought sandwiches and drinks
5 students brought sandwiches, drinks and cans
Sandwiches
Drinks
3
5
Cans​

Answer 1

Answer:

by formula derived from venn diagram :

n(AUBUC)=n(A)+n(B)+n(C)-n(A∩B)-n(B∩C)-n(A∩C)+n(A∩B∩C)

n(AUBUC)=50+30+30-18-15-8+5

= 115-63 = 52

Now,

n(AUBUC) + n(AUBUC)' =n(U)

52 + n(AUBUC)' = 80

n(AUBUC)' = 28