numbers greater than 1000 but not greater than 5000 are to be formed with the digits 0,1,2,3,5 allowing repetitions. the number of posible numbers is

Dear Student,

Please find below the solution to the asked query :
$$\begin{gathered} \mathrm{The} \mathrm{digits} \mathrm{to} \mathrm{be} \mathrm{used} \mathrm{are} 0,1,2,3,5 \\ \mathrm{So} \mathrm{let} \mathrm{the} \mathrm{number} \mathrm{is} \mathrm{\_} \mathrm{\_}\hspace{0.17em}\mathrm{\_}\hspace{0.17em}\mathrm{\_}\hspace{0.17em} \\ \mathrm{Now} \mathrm{first} \mathrm{postion} \mathrm{can} \mathrm{be} \mathrm{filled} \mathrm{by} \mathrm{the} \mathrm{numbers} 1/2/3 \\ \mathrm{SO} 3 \mathrm{ways} \\ \mathrm{Now} \mathrm{second} \mathrm{position} \mathrm{can} \mathrm{be} \mathrm{filled} \mathrm{using} \mathrm{the} \mathrm{digit} \\ 0/1/2/3/5= 5 \mathrm{ways} \\ \mathrm{Similarly} \mathrm{third} \mathrm{and} 4\mathrm{th} \mathrm{position} \mathrm{can} \mathrm{be} \mathrm{also} \mathrm{filled} \mathrm{in} 5 \mathrm{ways} \\ \mathrm{So} \mathrm{total} \mathrm{number} \mathrm{of} \mathrm{ways} \\ = 3\times 5\times 5\times 5= 375 \end{gathered}$$

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