Number of numbers lying between 
and 
can be formed from the digits 
(repetition is allowed) are 
. Find 
.
Text Solution
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81
The total number between 
and 
are 
but we have to form the numbers by using
numerals 
i.e. 
is not occurring so the numbers containing any 
would be excluded i.e., Required number of ways
Aliter: Between 
and 
, the numbers are of 
digits and 
digits.
Since repetition is allowed, so each digit can be filled in 
ways.
Therefore, number of 
-digit numbers 
and number of 
-digit numbers 
Hence total ways 
.
81
The total number between 
and 
are 
but we have to form the numbers by using
numerals 
i.e. 
is not occurring so the numbers containing any 
would be excluded i.e., Required number of ways
Aliter: Between 
and 
, the numbers are of 
digits and 
digits.
Since repetition is allowed, so each digit can be filled in 
ways.
Therefore, number of 
-digit numbers 
and number of 
-digit numbers 
Hence total ways 
.
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