Question

Q.5) In a group of 75 persons everyone takes either tea or
coffee. If 45 take tea and 35 take coffee, then the
number of persons who take tea only is
A) 35
B) 40
C) 45 D) 50
O
A
O
B
Ос
O
D​

Answer 1

Answer:

B) 40

Step-by-step explanation:

75- coffee people

75-35

40

Answer 2

Given : In a group of 75 persons everyone takes either tea or coffee

45 take tea and 35 take coffee,

To Find : number of persons who take tea only

Solution:

In a group of 75 persons everyone takes either tea or coffee

=> n( T ∪ C)  = 75

n( T) = 45

n(C) = 35

Shortcut

number of persons who take tea only  = n( T ∪ C)  - n(C)

= 75 - 35

= 40

Another method :

n( T ∪ C)   = n(T) + n(C) -  n( T ∩ C)

=> 75 = 45 + 35 - n( T ∩ C)

=>  n( T ∩ C)  = 5

number of persons who take tea only  = n(T) -   n( T ∩ C)

= 45 - 5

= 40

the

number of persons who take tea only  = 40

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