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How many positive five-digit numbers can be formed with the

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How many positive five-digit numbers can be formed with the [#permalink] New post 21 Apr 2018, 04:59
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How many positive five-digit numbers can be formed with the digits 0, 3, and 5?

(A) 14
(B) 15
(C) 108
(D) 162
(E) 243
[Reveal] Spoiler: OA

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Re: How many positive five-digit numbers can be formed with the [#permalink] New post 25 Apr 2018, 01:48
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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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Re: How many positive five-digit numbers can be formed with the   [#permalink] 25 Apr 2018, 01:48
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