It was noticed that some cars have license plates with 3 letters followed by three numbers while other license plates have 3 numbers followed by 3 numbers if neither letters nor numbers can repeat what is the probability of getting the letter A in the first letter slot and getting the number 1 in the first number slot.

Can anyone please check my work:
P(A) = 1/24
P(1) = 1/10
P(A and 1) = (1/24)*(1/10)