Question

There are 280 members in a club, each have at least one beverage. 100 of them drink tea and 75 drink tea but not coffee. Then the numbers of members drinking coffee is

Answer 1

205 peoples drink coffee

Answer 2

Answer:

Hence, the numbers of members drinking coffee is 205

Step-by-step explanation:

There are 280 members in a club, each have at least one beverage

⇒ n(T ∪ C) = 280

100 of them drink tea

⇒ n(T) = 100

75 drink tea but not coffee

⇒ n(T ∩ C) = 100 - 75 = 25

Now, n(T ∪ C) = n(T) + n(C) - n(T ∩ C)

⇒ 280 = 100 + n(C) - 25

⇒ n(C) = 280 - 75

⇒ n(C) = 205

Hence, the numbers of members drinking coffee is 205