Question

see the attached file and answer it for me
Solve 6,7,8​

Answer 1

Mate

YOUR SOLUTION IS IN ATTACHED PICTURE ☺️

Answer 2

Answer:

6 ). 19

7 ). 35, 25

8 ). 60

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Step-by-step explanation:

6 ). n ( C ⋃ T ) = 70

n( C ) = 37

n ( T ) = 52

By using the formula,

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

➡️ 19 people like both coffee and tea.

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7 ). n ( C ⋃ T) = 65

n ( C ) = 40

n ( C ⋂ T ) = 10

By using the formula,

n ( C ⋃ T ) = n ( C ) + n ( T ) - n ( C ⋂ T )

65 = 40 + n ( T ) - 10

65 = 30 + n ( T )

n ( T ) = 65 - 30

∴ n ( T ) = 35

➡️ 35 people like Tennis.

Now, ( T - C ) ⋃ ( T ⋂ C ) = T

( T - C ) ⋂ ( T ⋂ C ) = Φ

n ( T ) = n ( T - C ) + n (T ⋂ C )

35 = n ( T - C ) + 10

n ( T - C ) = 35 - 10

∴ n ( T - C ) = 25

➡️ 25 people like Tennis only and not cricket.

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8 ). n ( F ) = 50

n( S ) = 20

n ( S ⋂ F ) = 10

By using the formula,

n ( S ⋃ F ) = n ( S ) + n ( F ) - n ( S ⋂ F )

n ( S ⋃ F ) = 20 + 50 - 10

n ( S ⋃ F ) = 70 - 10

∴ n ( S ⋃ F ) = 60

➡️ 60 people like at least one of these two languages.

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