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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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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