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Q58 / 160 · TS EAMCET 2025 (04 May Shift 2) · Mathematics

Q5 / 142 · TS EAMCET 2025 (04 May Shift 2) · Mathematics · Permutation Combination · Division of Identical items

The number of positive integral solutions of $x y z=60$ is

  • A
    ${ }^{59} \mathrm{C}_2$
  • Correct answer
    B
    ${ }^4 \mathrm{C}_2 \times{ }^3 \mathrm{C}_2 \times{ }^3 \mathrm{C}_2$
  • C
    ${ }^4 \mathrm{C}_3$
  • D
    ${ }^3 \mathrm{C}_1 \times{ }^4 \mathrm{C}_0 \times{ }^4 \mathrm{C}_4$

Hence, the correct answer is option: 'B'.

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