Mathematics - Permutation & Combination Question with Solution | TestHub

MathematicsPermutation & CombinationDivision of Identical itemsMedium2 minQB

MathematicsMediumsingle choice

The number of positive integer solutions for $x_{1} x_{2} x_{3} x_{4} = 504$ is $____$

Answer:

Solution:

$x_{1} x_{2} \dots\dots x_{k} = p_{1}^{α_{1}} p_{2}^{α_{2}} \dots\dots p_{n}^{a_{n}}$

Total positive integer solutions $α_{1} + k - 1_{c_{k - 1}} \times α_{2} + k - 1_{c_{k - 1}} \times \dots\dots\dots \times α_{n} + k - 1_{c_{k - 1}}$

Stream:JEESubject:MathematicsTopic:Permutation & CombinationSubtopic:Division of Identical items

⏱ 2mℹ️ Source: QB

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