lets pretend that letters and numbers are the same things. so we have got 1234567890 and lets call the letters just capital letters instead so all the numbers are 1234567890ABCDEFGHIJKLMNOPQRSTUVWXYZ. the number plate is a bit like a combinatiobn lock (think about it) and the formula for the number of possible permutaions on a combination lock ( it should be could a permutation lock i don't know why it's called combonation lock ) is:
(amount of different numbers)(how many digits wide the lock is)
so we replace amount of different numbers with 36 and how many digits wide the lock is with 5 to get 365 = 60,466,176
so there you go.
+247 
