50 students in a
class room likes nepali history or both subjects. Out of them 20 like both
subjets. If the ratio of the

50 students in a
class room likes nepali history or both subjects. Out of them 20 like both
subjets. If the ratio of the numb of students who like Nepali and history
is 3:2, Using Venn diagram find:​

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  1. Answer:

    n(M) = 3x

    n(S)= 2x

    n (M∩S) = 20

    By using formula,

    n(M∪S) = n(M) +n(S) – n(M∩S) or, 50=3x+2x-20

    or, 50 = 5x-20 or, 5x=70

    x=14

    ∴Number of students who like Mathematics = 3x = 3×14 = 42

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