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cmon Akuma and here is a question on application of Venn diagram question is if number of elements in a is equal to 15 number of elements in a union B equals to 30 and number of elements in a intersection B equals to 7 find number of elements in B such questions can be answered with the help of Venn diagram so let me meet one here this is our tool sample space which sometimes we call universal set also and sometimes we are using the word s for sample space so here we have a and B these are you can call them two events right so we have that could be represented by two circles right so since we do have intersection elements this is not a disjoint function they have intersection so what are we given here we are given number of elements in a is 15 so let me rewrite here okay number of elements in a equals to 15 number of elements in a union B equals to 30 and number of elements a intersection B equals to seven now that means a and B this means a and B right so it is intersection we call