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Question -

यदि X और Y दो ऐसे समुच्चय हैं कि n(X) = 17, n(Y) = 23 तथा n(X ∪ Y) = 38, तो n(X ∩Y) ज्ञात कीजिए।



Answer -

दिया है। n(X) = 17, n(Y) = 23
n(X ∪ Y) = 38
n(X ∪ Y) = n(X) + n(Y) – n(X ∩ Y)
38 = 17 + 23 – n(K ∩ Y) = 40 – n (X ∩ Y).
n(X ∩ Y) = 40 – 38 = 2.

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