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How many integers between 324,700 and 458,600 have tens

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Veritas Prep GMAT Instructor
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Joined: 16 Oct 2010
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Kudos [?]: 17358 [0], given: 232

Location: Pune, India
Re: How many integers between 324,700 and 458,600 have tens [#permalink]

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New post 10 Aug 2017, 05:04
rahulk2801! wrote:
VeritasPrepKarishma wrote:
144144 wrote:
is there another way to solve this?

I once saw someone solving this kind of questions by multiplying the amount of different number of digits u can put in each place (in each different digit)


You can but you would have to take multiple cases and that would be really cumbersome. The left most digit can be either a 3 or a 4 but then next digit depends on what the leftmost digit is. If left most digit is 3, next digit can be anything from 2 to 9. If the leftmost digit is 4, the next digit can be from 0 to 5. Similarly other digits too.
So preferably, focus on the approach given by Bunuel.



Hi!
I did it this way. Though i am getting the same answer, is it a correct approach?

For, 713 - 1613
1 x 10 x 1 x 1 = 10

Now 458-324 = 134.

Therefor total = 134 x 10 =1340

Total final possibilities = 1340 - 1 (1613 is not possible) = 1339


Yes, this is correct too. Note that you subtract 1 at the end because 458,613 is not included.
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Kudos [?]: 17358 [0], given: 232

Re: How many integers between 324,700 and 458,600 have tens   [#permalink] 10 Aug 2017, 05:04
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How many integers between 324,700 and 458,600 have tens

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