Question

In a group of 50 persons, everyone takes either tea or coffee. If 35 persons take tea and 25 persons take coffee, then the number of person who take tea only is

Answer 1

Answer:

tea only = 25

only coffee = 15

Answer 2

Concept:

Set theory: It is a branch o mathematics that studies sets.

Sets is the well defined collection of objects and elements.

It has several operations like union, common, universal etc.

Given:

We are given that:

n(T U C)=50

n(T)=35

n(C)=25

Find:

We need to find the number of persons who take tea only:

Solution:

We have:

n(T U C)=50

n(T)=35

n(C)=25

We will first find n(T П C):

n(T П C)=n(T)+n(C)-n(T U C)

=35+25-50

=60-50

=10

Now we need to find the number of persons who take tea only:

n(T only)= n(T)-n(T П C)

n(T only)=35-10

=25

Therefore, the number of persons who take tea only are 25.

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