Question

Needed full explanation​

Answer 1

★ Answer

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Answer 2

Answer:

$\sf \underline{19 \: people \: likes \: both \: tea \: and \: coffee}$

Solution:

Given:

• Total no. of people who likes coffee = 37
• Total no. of people who likes tea = 52
• Total no of people who like atleast tea or coffee = 70

To Find:

• Total no. of people who likes both coffee and tea = ?

Explanations:

Let C be the no. of people who likes coffee and T be the no. of people who like tea.

We know that ,

n( C ∪ T ) = n(C) + n(T) - n(C ∩ T)

70 = 37 + 52 - n(C ∩ T )

70 = 89 - n(C ∩ T )

n(C ∩ T ) = 89 - 70

n(C ∩ T ) = 19

Hence , Total number of people who likes both tea and coffee is 19