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JEE Main Mathematics question

MathematicsSequence and SeriesJEE Main

If is the number of ways in which distinct numbers can be selected from the set so that they form a G.P. then the value of is

Answer: 4

Solution

Three powers of form a G.P. exactly when their exponents form an A.P. (in increasing order) within . Counting A.P.'s by common difference

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Question ID VK-020710