In a five digit number there are altogether \(5\) spots

Among these five spots, the first spot cannot contain \(0\) as this number will reduce to \(4\) digit number. for eg. \(04578 = 4578\)

However the question limits the use of digits to just \({0,3,5}\)

We cannot make use of \(0\) for the first spot so possible choices are \(2:\) 3 and 5

for the rest \(4\) spots there are \(3\) choices each hence total number of \(5\) digit number formed from the given \(3\) numbers are

\(2 * 3^4 = 162\)

option D

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This is my response to the question and may be incorrect. Feel free to rectify any mistakes