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
number
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- shashank.ism
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- shashank.ism
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Yeah that is correct...sanjayism wrote:4^n > 10000
minimum value of n =7
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- komal
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Since repetition of digits is allowed the total number of n digit numbers that can be formed is 4n.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
46 = 212
= 4096 < 10000
47 = 214 = 16384 > 10000
∴ n = 7, is the minimum value for which 4n is greater than 10000.