Mathematics - Probability Question with Solution | TestHub

$3375=5^3\cdot 3^3,1125=5^3\cdot 3^2$

Clearly, $3^3$ is a factor of ' $x$ ' and $3^2$ is factor of atleast one of $y\&z$. This can be done in 5 ways. Also, $5^3$ is a factor of atleast two of the numbers $x,y,z$ which can be done in

$$\begin{array}{rlr}& {}^3{C}_2\times 4-2=10& \therefore k=50\end{array}$$