Posted by **alex** on Saturday, May 28, 2011 at 1:38pm.

There are 900 three-digit integers. The number of three-digit integers having at least one repeated digit is also a three-digit number. If that number is represented by abc where each letter is a digit, compute

a-b+c

(I came up with 252 integers so when I did the computation it didn't make sense)

- math -
**MathMate**, Saturday, May 28, 2011 at 11:00pm
Here we have 10 digits, of which the first one cannot be zero.

If the three digits are distinct, there are 9 choices for the first digit, still 9 (including zero) for the second, and 8 for the third.

So 9*9*8=648 numbers.

There are therefore 900-648=252 numbers which have at least one repeated digit.

So a=2, b=5, c=2, and a-b+c=2-5+2=-1

## Answer This Question

## Related Questions

- Math - There are 900 three-digit integers. The number of three-digit integers ...
- math - The number uses every number 0-9 the numbers are used only once the ...
- Math - My thousand digit is an even number which is two more than my hundreds ...
- Math - Take a four digit number (abcd) and repeat it to make an eight digit ...
- Math - Take a four digit number (abcd) and repeat it to make an eight digit ...
- math - This is an SAT question of the day that I can't understand. The sum of ...
- math - ann wrote a three digit number. the digit inthe hendreds place is 4 less ...
- sent mary convent .sub math - I am 4-digit number divisibleby 3.My tens digit is...
- Math - I am a four digit number my ones digit is four less than my hundreds ...
- Math - i am a 4 digit number between 3000 and 4000.My ones digit is twice my ...

More Related Questions