Question

N a group of 20 families, it was found that exactly 15 families had at least some members who voted for bjp, and exactly 8 families had at least some members who voted for congress. There are 2 families such that not a single member from any of these families voted for bjp or for congress. Note, each family can have multiple members, and different members can vote for different parties. How many families are such that they have members who voted for bjp and also members who voted for congress?

Answer 1

Answer:

5 families

Step-by-step explanation:

Total Families T = 20

Families  at least some members who voted for bjp  B =  15

Families  at least some members who voted for Congress C =  8

Families Who did not Vote for BJP & Congress (None) = 2

T  = B + C - (B ∩ C)  + None

=> 20 = 15 + 8  - (B ∩ C) + 2

=> B ∩ C = 5

5 families are such that they have members who voted for bjp and also members who voted for congress