In a village of 140 houses,60 believe in Buddhism,70 believe in Hinduism and 45 in other religion.Among them 17 houses don't find any difference in Hinduism and Buddhism,18 houses don't find any difference in Hinduism and other religion,16 houses don't find any difference in Buddhism and other religion.If 6 houses don't believe in any religion, find how many houses don't find any difference in any religion.Show it in the venn-diagram.

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Total 10 houses don't find any difference in any religion.

How to make a venn diagram?

The venn diagram represents the data with the help of circles.

In a village of 140 houses,60 believe in Buddhism,70 believe in Hinduism and 45 in other religion.

Among them 17 houses don't find any difference in Hinduism and Buddhism,18 houses don't find any difference in Hinduism and other religion,16 houses don't find any difference in Buddhism and other religion.If 6 houses don't believe in any religion.

We need to find that how many houses don't find any difference in any religion.

Given information;

U = 140

B = 60

H = 70

O = 45

B ∩ H = 17

H ∩ O = 18

B  ∩ O = 16

B ∪ H ∪ O = 6

Now,( B ∪ H ∪ O )= (U) - Bar of (B ∪ H ∪ O)

( B ∪ H ∪ O )= 140 - 6 = 134

( B ∪ H ∪ O ) = B + H + O - B ∩ H - H ∩ O - B  ∩ O + ( B ∩ H ∩O )

= 10

Therefore, Total 10 houses don't find any difference in any religion.

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