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.

Question

Mathematics

Morales

16 November, 07:16

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.

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Emilie Carson · 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.