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JEE MATHEMATICS MCQ: PERMUTATIONS

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The number of proper divisors of 2pâ‹…6qâ‹…15r2^p \cdot 6^q \cdot 15^r is
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Correct option: B
(p+q+1)(q+r+1)(r+1)−2(p+q+1)(q+r+1)(r+1)-2
Option B ((p+q+1)(q+r+1)(r+1)−2(p+q+1)(q+r+1)(r+1)-2) is correct because it calculates the total number of divisors and then subtracts 2 to exclude 1 and the number itself, giving the number of proper divisors.

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