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There are 210 members in the …

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There are 210 members in the classroom 100 of them drink tea and 65 of them drink tea, but not coffee. How many drink coffee and not tea?
  • 1 answers

Sia ? 6 years, 7 months ago

n (T) = 100
n (T - C) = 65
n (T ∪ C) = 210
n (T - C) = n (T) - n (T ∩ C)
65 = 100 - n (T ∩ C)
n (T ∩ C) = 35
n (T ∪ C) = n (T) + n (C) - n (T ∩ C)
210 = 100 + n (C) - 35
n (C) = 145.
Now,
n(C - T) = n(C) - n(C ∩ T)
n(C - T) = 145 - 35
n(C - T) = 110 

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