Question

in a class 20 students like music,31 like dance ,6 like both music and dance,how many total students are there inthe class
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Answer 1

Let 'x' be the number of students who likes both music and dance.

5 students likes neither music nor dancing.

Hence, total number of remaining students

=60-5=55

Now from Venn diagram,

45-x+x+50-x=55

∴95−x=55

∴x=95−55=40.