A $\textit{palindrome}$ is a number which reads the same forward as backward, for example 313 or 1001. Ignoring the colon, how many different palindromes are possible on a 12-hour digital clock displaying only the hours and minutes? (Notice a zero may not be inserted before a time with a single-digit hour value. Therefore, 01:10 may not be used.)

Guest Aug 5, 2020

#1**+1 **

3 digits,

chose the first digit 9 choices 1,2,3,4,5,6,7,8,9

Chose the second 6 choices 0,1,2,3,4,5

chose the third, it has to be the same as the first so 1 choice

9*6*1=54 ways

Thanks for the correction EP.

4 digits

you can do this one yourself.

Melody Aug 5, 2020