An individual is planning a trip to a baseball game for 20 people. Of the people planning to go to the baseball game, 11 can go

Question

4 years ago

9

on Saturday and 14 can go on Sunday, some of them can go on both days. How many people can only go to the game on Saturday?

1 answer:

storchak [24] · Answer 1 · 2021-12-26T23:10:40+03:00

Answer:

6 people

Step-by-step explanation:

Suppose A represents the event of going on Saturday,

B represents the event of going on Sunday,

According to the question,

n(A)=11

n(B)=14

n(A∪B)=20

We know that,

n(A∪B) = n(A) + n(B) - n(A∩B)

By substituting values,

20 = 11 + 14 - n(A∩B)

⇒ n(A∩B) = 25 - 20 = 5,

Hence, the number of people who can only go to the game on Saturday = n(A) - n(A∩B) = 11 - 5 = 6.