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JEE Advanced Mathematics question

MathematicsTrigonometric Ratio and IdentitiesJEE Advanced

In each question, match every entry of Column I with the correct entry of Column II. (An entry of Column II may be used more than once.) Column I: (i) The total number of positive integral solutions of is (ii) In a , the minimum value of is (iii) If the value of is (iv) The value of is Column II: (a) (b) (c) (d)

Answer: (3)

Solution

**(i)** . Distribute the single factor 2 among in ways, and the two 3's in ways (stars and bars). That gives ordered triples, confirmed by enumeration. Equivalently, the book lists and

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Question ID VK-110297