यदि \(U={1,2,\ldots,96}\), (A) (6) के गुणजों का और (B) (10) के गुणजों का समुच्चय है, तो (n\(A\cup B\)) का सही मान चुनें।
If \(U={1,2,\ldots,96}\), (A) is the set of multiples of (6) and (B) is the set of multiples of (10), choose the correct value of (n\(A\cup B\)).
Explanation opens after your attempt
Correct Answer
A. (22)
Concept
Multiples of (6) are (16), multiples of (10) are (9), and common multiples are (3), so (n\(A\cup B\)=22). Subtract common multiples once.
Why this answer is correct
The correct answer is A. (22). Multiples of (6) are (16), multiples of (10) are (9), and common multiples are (3), so (n\(A\cup B\)=22). Subtract common multiples once.
Exam Tip
(6) के गुणज (16), (10) के गुणज (9), और साझा गुणज (3) हैं, इसलिए (n\(A\cup B\)=22) है। साझा गुणजों को एक बार घटाएँ।
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