Digits 2 & 5

pankajks2010 wrote:How many different integers between 100 & 999 inclusive do not have any digit which is a 2 or 5?

a)408
b)446
c)448
d)512
e)700


[spoiler]OA: C[/spoiler]

Courtesy: 800score.com
Not sure, if this question is already discussed on the forum or not.

digits available 0,1,2,3,4,5,6,7,8,9..!! digits that we don't want to appear in a number are 2 and 5.
-,-,- ; left most digit can be filled with any of the remaining 7 digits in 7 ways(1,3,4,6,7,8,9);
digit in the ten's place can be filled with (0,1,3,4,6,7,8,9)any of these 8 numbers in 8 ways, similarly digit at the unit's place can be filled with any of these (0,1,3,4,6,7,8,9) eight number in 8 ways,
hence total number of ways=7*8*8=448 hence C

thanks a lot manpsingh..somehow, I struggle a lot with P&C questions. However, you have made it look very simple. Thanks again!!

pankajks2010 wrote:thanks a lot manpsingh..somehow, I struggle a lot with P&C questions. However, you have made it look very simple. Thanks again!!

you're always.. welcome...!!!