Step-by-step explanation:
✧ [tex] \underline{ \underline{ \large{ \tt{S\: O \: L \: U \: T \: I\: O \: N}}}} : [/tex]
- Let the number of people who drink only tea be n( only T ) , the number of people who drink only coffee be n ( only C ) , the number of people who drink both tea and coffee be n ( T ∩ C ) and the number of people who drink beverages be n ( T ∪ C ).
- n ( only T ) = 18
- n ( only C ) = 33
- n ( T ∩ C ) = 25
- n ( T ∪ C ) = 18 + 25 + 33 = 76
- n ( U ) = 76 + 45 = 121
✧ [tex] \underline{ \underline{ \large\tt{L \: E \:T \:' S \: \: S \: O \: L \: V\: E}}} : [/tex]
Number of people who do not drink tea = n ( U ) - n ( only T ) + n ( T ∩ C )
⇾ [tex] \large{ \tt{121 - (18 + 25)}}[/tex]
⇾ [tex] \large{ \tt{121 - 43}}[/tex]
⇾ [tex] \boxed{\large{ \tt{ 78}}}[/tex]
[tex] \boxed{ \boxed{ \tt{Our \: Final \: Answer : \underline{ \text{78}}}}}[/tex]
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