For a certain 'test', a candidate could offer English or Hindu or both the subjects Total number of students - Maths - Sets

Question

For a certain 'test', a candidate could offer English or Hindu or
both the subjects Total number of students was 500, of whom 350
appeared in English and 90 in both subjects Use set operations to
show 1) How many appeared in english only 2) How many appeared in
Hindi 3) How many appeared in hindi only ANSWER FAST PLEASE

Shivam Mishra · Accepted Answer

Dear Student,
Please find below the solution to the asked query:

Let us denote Hindi as H and Emglish as E
Now according to questionnH∪E=500nE=350nH∩E=90We know thatnH∪E=nE+nH-nH∩E⇒500=350+nH-90⇒nH=240Hence 240 candidates appeared in Hindi only
Number of candidates who appeared in English only=nE-nH∩E=350-90=260Number of candidates who appeared in Hindi only=nH-nH∩E=240-90=150

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