Question:medium

The number of positive integral solutions of $xyz = 60$ is

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To find positive integral solutions of $x_1 x_2 \dots x_k = N$, factor $N$ into primes. For each prime factor, distribute its powers among the variables using stars and bars. Multiply the counts for all primes.

Updated On: Mar 30, 2026

$^{59}C_2$
$^4C_2 \times ^3C_2 \times ^3C_2$
$^4C_3$
$^3C_1 \times ^4C_0 \times ^4C_4$

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The Correct Option is B

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The number of positive integral solutions of $xyz = 60$ is

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The Correct Option is B

Solution and Explanation

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