Question

Out of atleast 20 members in a family, 11 like to take tea and 14 like coffee. Assume that that each one likes at least one of two drinks. How many like only tea and not coffee?

Answer 1

Answer:6

Step-by-step explanation:

Answer 2

The number of members like tea and not coffee is 6.

Explanation:

Let T denotes the number of members like tea and C denotes the number of members like coffee.

Given : The total members in the family = 20

We assume that each one likes at least one of two drinks.

⇒ T∪C =20

Members like tea = T= 11

Members like coffee = C = 14

Using formula of sets : T∪C= T+C-T∩C

⇒ 20 = 11+14-T∩C

⇒T∩C =25-20=5

i.e. The number of members like both tea and coffee= T∩C =5

Now , the number of members like tea and not coffee = T-  T∩C

= 11-5 = 6

Therefore , the number of members like tea and not coffee is 6.

#Learn more :

Out of 25 members in a office 17 like to take tea and 16 like to take coffee assume that each takes at least one of the two drinks how many like 1) both coffee and tea 2) only tea and not coffee

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