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In a university, out of 120 students, 15 opted mathematics only, 16 opted statistics only, 9 opted for physics only and 45 opted physics and mathematics, 30 opted physics and statistics, 8 opted mathematics and statistics and 80 opted physics. By drawing a Venn diagram, find the number of students who (i) opted mathematics (ii) opted statistics (iii) did not opt any of the above three subjects

Answer» In a university, out of 120 students, 15 opted mathematics only, 16 opted statistics only, 9 opted for physics only and 45 opted physics and mathematics, 30 opted physics and statistics, 8 opted mathematics and statistics and 80 opted physics. By drawing a Venn diagram, find the number of students who (i) opted mathematics (ii) opted statistics (iii) did not opt any of the above three subjects


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