The number of five digit numbers greater than 50000 that can be formed by using all the digits 0,1,3,5,9 only once is

$$\begin{gathered} \mathrm{using} \mathrm{the} \mathrm{digits} \left\{0, 1, 3, 5, 9.\right\} \\ \mathrm{five} \mathrm{digit} \mathrm{numbers} \mathrm{greater} \mathrm{than} 50,000 \mathrm{are} \mathrm{formed} \mathrm{consider} 5\mathrm{places}. \\ \mathrm{First} \mathrm{place} \mathrm{can} \mathrm{be} \mathrm{filled} \mathrm{using} 5 \mathrm{or} 9 \mathrm{in} 2 \mathrm{ways}. \\ \mathrm{Remaining} 4 \mathrm{places} \mathrm{can} \mathrm{be} \mathrm{filled} \mathrm{using} \mathrm{remaining} 4 \mathrm{digits} \mathrm{in} 4! \mathrm{ways}. \\ \mathrm{Total} \mathrm{no}.\mathrm{of} \mathrm{per} \mathrm{mutation} =2(4!)=2\left(24\right) \\ =48 \end{gathered}$$