Permutations and Counting problem?
> Postal codes in Canada have six characters with alternating letters and digits in the form L#L#L#. How many postal codes do not have one letter repeated three times?
What I did is $26*10*25*10*24*10=15600000$, which is apparently wrong. The solution in the marking scheme is like this:
Total number of codes: $ 26*10*26*10*26*10=17576000$
Number of codes with the same letter 3 times is: $26*10*10*10=26000$
Number of codes without the repeated letters is: $17576000-26000=1755000$
What is wrong with my logic? And I don't get the method the marking scheme used.
Your calculation also does not allow a letter to be repeated even twice.