Math, asked by varuni6118, 16 days ago

In a locality there are 125 people living in an apartment out of them (4^1/2+27^1/3) are alcoholic find the number of people who drink. what value is depicted here​

Answers

Answered by vishal2907km
1

Given:

In hostel

Total number of students =125

Number of students who drink tea=80

Number of students who drink coffee=60

Number of students who drink tea and coffee=20

To find:

Number of students who do not drink tea or coffee.

Solution:

Let

A=Tea

B=Coffee

n(A)=80

n(B)=60

U=125

n(A\cap B)=20n(A∩B)=20

We know that

n(A\cup B)=n(A)+n(B)-n(A\cap B)n(A∪B)=n(A)+n(B)−n(A∩B)

Using the formula

n(A\cup B)=80+60-20=120n(A∪B)=80+60−20=120

n(A\cup B)'=U-n(A\cup B)=125-120=5n(A∪B)

=U−n(A∪B)=125−120=5

Hence, the number of students who do not drink tea or coffee=5

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