Question

A license plate is to consist of 4 digits followed by 2 uppercase letters. determine the number of different license plates possible if the first and second digits must be​ odd, and repetition is not permitted.

Answer 1

To determine all the different possibilities, you will find the possible choices for each position in the license and multiply them together.
1st digit - 1/5 (1,3,5,7,9)
2nd digit-1/4(4 left from above)
3rd digit-1/8 (10-2=8 possible)
4th digit-1/7 (8-1)
5th digit-1/26 (26 letters)
6th digit-1/25 (26-1)

1/5 x 1/4 x 1/8 x 1/7 x 1/26 x 1/25 =1/728000 which means there are 728000 possibilities.