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How many positive five-digit numbers can be formed with the
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21 Apr 2018, 04:59
21 Apr 2018, 04:59
Expert Reply
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Question Stats:
76% (00:38) correct
23% (00:25) wrong based on 26 sessions
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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
(A) 14
(B) 15
(C) 108
(D) 162
(E) 243
Re: How many positive five-digit numbers can be formed with the
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25 Apr 2018, 01:48
25 Apr 2018, 01:48
1
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
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
gmatclubot
Re: How many positive five-digit numbers can be formed with the [#permalink]
25 Apr 2018, 01:48
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