Question:
Find the number of positive integers greater than 6000 and less than 7000 which are divisible by 5, provided that no digit is to be repeated.
Solution:
(i)Thousand’s Place can be fill with 6 alone.
Hence, number of way =1
Unit place can be filled with either 0 or 5.
Hence, number of way =2
Hundred’s place can be filled with the remaining 8 digits.
Hence, number of way =8
Ten’s place can be filled with 7 digits.
Number of ways= 7.
Thus, required number will be
=1 x 8 x 7 x 2
=112
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