Find the number of positive integers greater than 6000 and less than 7

1.	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.
Answer» Thousand Place is to be fill with 6. Number of way = 1 ten place can be fill with 7 digits. Number of ways= 7. Thus, required number will be =1 x 8 x 7 x 2 =112

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.

Answer»

Thousand Place is to be fill with 6. Number of way = 1

ten place can be fill with 7 digits. Number of ways= 7.

Thus, required number will be

=1 x 8 x 7 x 2

=112