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In a party, 70 guests were to be served tea or coffee after di

Question

In a party, $70$ guests were to be served tea or coffee after dinner. There were $52$ guests who preferred tea while $37$ preferred coffee. Each of the guests liked one or the other beverage. How many guests liked both tea and coffee?

15

18

19

33

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In a party,

70

guests were to be served tea or coffee after dinner. There were

52

guests who preferred tea while

37

preferred coffee. Each of the guests liked one or the other beverage. How many guests liked both tea and coffee?

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Text solutionVerified

Total number of guests

= 70

Let

A

and

B

be the guests who preferred tea and coffee respectively.

n (A) = 52

n (B) = 37

n (A \cup B) = 70

n (A \cup B) = n (A) + n (B) - n (A \cup B)

= 52 + 37 - 70 = 89 - 70 = 19

Guests who liked both tea and cofffee

= 19

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Question Text	In a party, $70$ guests were to be served tea or coffee after dinner. There were $52$ guests who preferred tea while $37$ preferred coffee. Each of the guests liked one or the other beverage. How many guests liked both tea and coffee?
Answer Type	Text solution:1
Upvotes	150