Answer:
Option (E) 648
Step-by-step explanation:
the 3 digit number can be represented by the blanks as " _ _ _ "
Now,
we have 10 choices ( i.e 0,1,2,3,4,5,6,7,8,9) available for each place in the blank if no condition is applied.
For the hundreds digit, using the conditions given in the question, we have 8 choices left
as 1 and 0 cannot be included in the hundreds place.
for the tens place
we will have 9 choices left out of 10 ( as 1 choice is less because we cannot have same number as on the hundred place )
similarly, for the ones place we have 9 choices left out of 10 ( as 1 choice is less because we cannot have same number as on the tens place )
Therefore,
Total possibilities = 8 × 9 × 9 = 648
Hence,
Option (E) 648
