## ParthKohli 3 years ago Number of 3-digit palindromes... 9 ways for the hundreds place. 9 ways for the tens place. 1 way for the ones place. $$9 \times 9 \times 1 = 81$$ which is wrong?

1. anonymous

why is there only one way for the ones place?

2. anonymous

shouldn't there be 9 ways?

3. anonymous

you can have 9 in the first place, and 10 in the second place. 111 is also a palindrome.

4. ParthKohli

Because the ones place is always equal to the hundreds place.

5. ParthKohli

Oh yes!

6. anonymous

010 is not a 3 digit number, but a 3 digit palindrome.

7. ParthKohli

@LOOSEr I didn't consider 0 for the tens place, whoopies

8. anonymous

so I would try it with 90

9. anonymous

9*10*1=90

10. ParthKohli

Yeah, that's right of course :-P

11. anonymous

10 ways for tens place

12. anonymous

^^