Mathematics - Permutation & Combination Question with Solution | TestHub

MathematicsPermutation & CombinationDivision of Identical itemsMedium2 minQB

MathematicsMediumsingle choice

The number of positive integral solutions of $x_{1} x_{2} x_{3} x_{4} x_{5} = 840$ is

Answer:

Solution:

$840 = 2^{3} \times 3 \times 5 \times 7$ . Therefore the number of solutions = $5^{3} \times (5 C_{1} + 5 C_{1} \times 4 C_{1} + 5 C_{3}) = 4375$

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

⏱ 2mℹ️ Source: QB

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