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by shashank.ism » Tue Feb 09, 2010 1:14 pm
An 'n' digit number is formed using the digits 3, 4, 5 and 6 where repetition of the digits is allowed. If the number of all such possible 'n' digits numbers exceeds 10000, then what is the minimum value of n?


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by sanjayism » Thu Feb 11, 2010 3:04 am
4^n > 10000

minimum value of n =7

C
kumar sanjay
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by shashank.ism » Mon Feb 15, 2010 12:14 pm
sanjayism wrote:4^n > 10000

minimum value of n =7

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Yeah that is correct...
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by komal » Wed Feb 17, 2010 11:09 am
shashank.ism wrote:An 'n' digit number is formed using the digits 3, 4, 5 and 6 where repetition of the digits is allowed. If the number of all such possible 'n' digits numbers exceeds 10000, then what is the minimum value of n?


5
6
7
8
9
Since repetition of digits is allowed the total number of n digit numbers that can be formed is 4n.
46 = 212
= 4096 < 10000
47 = 214 = 16384 > 10000
∴ n = 7, is the minimum value for which 4n is greater than 10000.
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