Mathematics - Permutation & Combination Question with Solution | TestHub

MathematicsPermutation & CombinationFundamental PrincipleEasy2 minQB

MathematicsEasysingle choice

The number of proper divisors of $2^{p} . 6^{q} .1 5^{r}$ is

Answer:

Solution:

$2^{p} . 6^{q} .1 5^{r} = 2^{p + q} . 3^{q + r} . 5^{r}$

No. of proper divisors $= (p + q + 1) (q + r + 1) (r + 1) - 2$

Stream:JEESubject:MathematicsTopic:Permutation & CombinationSubtopic:Fundamental Principle

⏱ 2mℹ️ Source: QB

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