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

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Joined: 18 Apr 2015
Posts: 5199
Followers: 77

Kudos [?]: 1048 [0], given: 4690

How many positive five-digit numbers can be formed with the [#permalink]  21 Apr 2018, 04:59
Expert's post
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Question Stats:

100% (00:56) correct 0% (00:00) wrong based on 3 sessions
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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Joined: 07 Jan 2018
Posts: 555
Followers: 4

Kudos [?]: 482 [1] , given: 84

Re: How many positive five-digit numbers can be formed with the [#permalink]  25 Apr 2018, 01:48
1
KUDOS
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
_________________

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

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

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