Question

c) There are 650 voters in the voter list of a Trade Union Election. They are allowed to cast vote either only for A or for B as the president of the union. 15 people didn't cast the vote and 212 voters cast vote for both the candidates. The candidate A won the election with the majority of 325 voters. (i) Show these information in a Venn-diagram. (ii) How many people of the voter list cast the vote? (iii) Find the number of valid votes. lunininnlity 35 volunteered.
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Answer 1

Answer:

Note: Make correction if it has been written 212 voters cast vote for both. Make it 12 voters.

Step-by-step explanation:

Let U be the set of total people who casted their vote in the election.

Let A and B be the sets of votes received by candidates A and B, respectively.

i)According to the question,

n(U)=650

n(A)=n(B)+325

n(A∩B)=12

n(A∪B)c=15

now, you can easily draw the veinn- diagram

ii)Total voters from the voters list who cast the vote are:

=n(U)−n(A∪B)c

=650−15

=635

iii)Total valid votes cast in the election are:

=635−n(A∩B)

=635−12

=623