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How many five-digit numbers can be formed from the digits 0,

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CEO
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Joined: 11 Sep 2015
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Re: How many five-digit numbers can be formed from the digits 0,  [#permalink]

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New post 29 Aug 2018, 15:25
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Top Contributor
rodri102 wrote:
Hi Bunuel. Could you clarify why we can't use 0 as the first digit? The question doesn't mention this as a restriction.

Thanks!


A 5-digit number can't have 0 in the ten thousands position.
For example, 03212 is not considered a 5-digit number.

If we allowed the first digit to be zero, then even a basic number like 1 could be a 2-digit number (01), a 3-digit number (001), a 4-digit number (0001), etc

Cheers,
Brent
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Re: How many five-digit numbers can be formed from the digits 0,  [#permalink]

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New post 23 Sep 2018, 12:23
Hi, we need to form 5 digit number , if we start with 0 then we would only be able to form a 4 digit number. (restriction mentioned in question stem). Hope it helps.

rodri102 wrote:
Hi Bunuel. Could you clarify why we can't use 0 as the first digit? The question doesn't mention this as a restriction.

Thanks!
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Re: How many five-digit numbers can be formed from the digits 0,  [#permalink]

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New post 15 Jan 2019, 19:07
guerrero25 wrote:
How many five-digit numbers can be formed from the digits 0, 1, 2, 3, 4, and 5, if no digits can repeat and the number must be divisible by 4?

A. 36
B. 48
C. 72
D. 96
E. 144


I believe if we just calculate outcome for the first three digits - we will get 5*5*4 or 100 (first digit - we can't use zero, next digit with zero as a possibility, next =4 as the first 2 digits are used). Calculating for any more possibilities should be more than 100, leaving only E as an option.
GMAT Club Bot
Re: How many five-digit numbers can be formed from the digits 0, &nbs [#permalink] 15 Jan 2019, 19:07

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