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Question

How many possible 9-digit codes can be formed?


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Solution

Solve for 9 digit codes

As the number is to be of 9 digits,

So we can form any number by 0,1,2,3,4,5,6,7,8and 9digits.

In order to form a 9 digit number, the first digit should be free from 0.

Therefore the first place, we have 9 choices only.

So the first place can be filled in 9 ways.

After filling up the first place, each remaining place can be filled by 10 digits.

The number of ways is 9×10×10×10×10×10×10×10×10×10=9×108

Hence the possible number of 9digit codes is 9×108


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