in a survey of 100 people,60 vote for making a play ground ina school,65 vote for building a library,then find the number of people who vote for both play ground and library by the help of Venn diagram.also,find how many people vote for building library only? from the set lesson
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Step-by-step explanation:
Let A be the set of people who vote for making a play ground in a school
Let B be the set of people who vote for building a library
n(AUB) = n(A) + n(B) - n(AnB)
100 = 60 + 65 - n(AnB)
n(AnB) = 125 - 100
n(AnB) = 25
Therefore the no. of who vote for both play ground and library is 25 . The no. of people who vote for building library only is 65
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