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# In a set of numbers from 100 to 1000 inclusive, how many

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VP
Joined: 22 Nov 2007
Posts: 1078

Kudos [?]: 688 [0], given: 0

In a set of numbers from 100 to 1000 inclusive, how many [#permalink]

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27 Jan 2008, 23:21
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In a set of numbers from 100 to 1000 inclusive, how many integers are odd and do not contain the digit "5"?

 180
 196
 286
 288
 324

Kudos [?]: 688 [0], given: 0

Intern
Joined: 16 Feb 2006
Posts: 30

Kudos [?]: 9 [1], given: 6

Location: ZURICH
Re: digits [#permalink]

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28 Jan 2008, 02:33
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numbers will be three digits having three positions

hundreds:tens:units

in units place we can fill only 1,3,7,9 only 4 options
in tens place we can have all from 0 to 9 except 5 , i.e 9 options
and in hundreds place we have anything from 1 to 9 except 5 i.e 8 options

therefore total number of combinations will be 8*9*4 = 288 combinations .
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Kudos [?]: 9 [1], given: 6

Re: digits   [#permalink] 28 Jan 2008, 02:33
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# In a set of numbers from 100 to 1000 inclusive, how many

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