In a group of 15 people, 7 read French, 8 read English while 3 of them read none of these two. How
many of them read French and English Both?
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Step-by-step explanation:
Total number of people in the group, U = 15
Number of people who can read French, n(F) = 7
Number of people who can read English, N(E) = 8
Also, 3 people cannot read any of the languages
So, n(F ∪ E) = U - 3
⇒ n(F ∪ E) = 12
Now, we need to find n(F ∩ E)
⇒ n(F ∩ E) = n(F) + n(E) + n(F ∪ E)
⇒ n(F ∩ E) = 7 + 8 - 12
⇒ n(F ∩ E) = 15 - 12
⇒ n(F ∩ E) = 3
Hence, Number of people who can read both French and English = 3
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Step-by-step explanation:
15 people read french and english both
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