Question

Chicago needs more license plates. The new plates are designed as follows: L-N-LL-NN, where N represent numerical values, and L represent letters. How many possible plates can be made if the following restrictions are applied; The first and last number cant be 1 or 0, the first letter can't be B, Z, or Q?(26 letters in the alphabet and 10 numerical digits)

Answer 1

number of possibilities for the first L: 26 - 3 = 23

number of possibilities for second and third L: 26

number of possibilities for the first N: 10 - 2 = 8

number of possibilities for the second N: 10

number of possibilities for the third N: 10 - 2 = 8

Then, there are 23*26*26*8*10*8 = 9950720 possible plates