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3. Suppose set \( A \) consists of first 250 natural numbers that are multiples of 3 and set \( B \) consists of first 200 even natural numbers. How many elements does \( A \cup B \) have?(a) 324(b) 364(c) 384(d) 400 |
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Answer» Given: n(A)=250 n(B)=200 A={3,6,9,12,.......750} B=2,4,6,8,10.......400} Therefore,A⋂B={6,12,18....396) =>n(A⋂B)=396/6=66 n(A∪B)=n(A)+n(B)-n(A⋂B) =250+200-66 =384 Hence,the correct answer is option (c)384
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