Considering the rectangular hyperbola x y = 15 ! The number of points ( α , β ) lying on it, where α , β ∈ N and α divides β , is 12 γ then the value of γ is _______

Mathematics - Permutation & Combination Question with Solution | TestHub

MathematicsPermutation & CombinationFundamental PrincipleMedium2 minQB

MathematicsMediuminteger

Considering the rectangular hyperbola $x y = 15!$ The number of points $(α, β)$ lying on it, where $α, β \in N$ and $α$ divides $β$ , is $12 γ$ then the value of $γ$ is _______

Answer:

Solution:

The largest number whose perfect square can be made with $15!$ is $2^{5} 3^{3} 5^{1} 7^{1}$

So that number of ways of selecting x will be

$(1 + 5) (1 + 3) (1 + 1) (1 + 1) = 96$ .

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

⏱ 2mℹ️ Source: QB

Doubts & Discussion

Loading discussions...