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

Gracie George

Mathematics

13 October, 11:37

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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Keegan Johnston · 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.