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In a school, all the students play at least one of three indoor games - chess, carrom and table tennis, 60 play chess, 50 play table tennis, 48 play carrom, 12 play chess and carrom, 15 play carrom and table tennis, 20 play table tennis and chess.
What can be the maximum number of students in the school?
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What can be the maximum number of students in the school?
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The correct answer is:
123
$\mathrm{n}(\mathrm{A} \cup \mathrm{B} \cup \mathrm{C})=111+\mathrm{n}(\mathrm{A} \cap \mathrm{B} \cap \mathrm{C})$
Maximum number of students $=111+12=123$
Maximum number of students $=111+12=123$
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