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A state makes auto license plates that have two letters (excluding i, 0, and q) followed by four digits of which the first digit is not zero. how many different license plates are possible? 3,085,128 3,470,769 4,761,000

User Ra Ka
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6.5k points

2 Answers

1 vote

Answer:

4,761,000

Explanation:

User Jon Rein
by
6.9k points
6 votes

Answer:

Hence, the total number of licence plates that are possible are:

4761000

Explanation:

A state makes auto license plates that have two letters (excluding i, 0, and q) followed by four digits of which the first digit is not zero:

i.e. the number of choices that can be made for the first place is:

26-3=23.

The number of choice that can be made for the second place is:

23

Now for the third place the choices can be made from the 9 digits ( as0 is excluded)

9

Now number of choices for fourth place is:

10.

Now number of choices for fifth place is:

10

Now number of choices for sixth place is:

10.

Hence, the total number of licence plates that are possible are:

23×23×9×10×10×10=4761000

User Eran Goldin
by
5.7k points
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