Question

Among all members of a joint family 8 members don't eat chiku, 9 don't eat papaya, 8 don't eat guava, 6 don't eat papaya and guava, 4 don't eat chiku and guava, 4 don't eat papaya and chiku. 3 members don't eat all 3 fruits mentioned. Select the option that indicates total, number of these family members

Answer 1

Answer:

14

Step-by-step explanation:

Among all members of a joint family 8 members don't eat chiku, 9 don't eat papaya, 8 don't eat guava, 6 don't eat papaya and guava, 4 don't eat chiku and guava, 4 don't eat papaya and chiku. 3 members don't eat all 3 fruits mentioned.

By analyzing or drawing a venn diagram we get

8 + 9 + 8 = 25

- 6 - 4 - 4 + 3 = - 14 + 3

So 25 - 14 + 3 = 14

Total number of family members are 14.  

Answer 2

Answer:

By venn diagram formula

n (A ∪ B ∪ C) = n(A ) + n ( B ) + n (C) – n ( A ∩ B) – n ( B ∩ C) – n ( C ∩ A) + n (A ∩ B ∩ C)

Answer is 14