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

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Joined: 22 Nov 2007
Posts: 1105
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Kudos [?]: 193 [0], given: 0

In a set of numbers from 100 to 1000 inclusive, how many [#permalink]  27 Jan 2008, 22:21
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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
Intern
Joined: 16 Feb 2006
Posts: 30
Location: ZURICH
Followers: 0

Kudos [?]: 6 [1] , given: 3

Re: digits [#permalink]  28 Jan 2008, 01:33
1
KUDOS
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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Re: digits   [#permalink] 28 Jan 2008, 01:33
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