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How many of these license plates can be made if numbers and letters may be repeated?

2007-11-29 14:39:37 · 5 answers · asked by a s 1 in Education & Reference Homework Help

5 answers

There are 1000 possible combinations of numbers, from 000 to 999. You get this by extrapolating 10 to the third power or 10x10x10.

There are 17576 possible combinations of letters from AAA to ZZZ. You get this by extrapolating 26 to the third power or 26x26x26.

Since you have 1000 combinations of numbers and each number can have 17576 possible combinations of letters per number, multiply 1000 times 17576 and you get 17,576,000 possible combinations.

2007-11-29 14:49:39 · answer #1 · answered by John 4 · 0 0

there are 10 achievable digits 0 a million 2 3 4 5 6 7 8 9 there are 26 letters so which you mulitiply 10x10x10 reason there are 3 numbers and then multiply10x10x10x26x26x26 because of the fact there may well be 26 letters the respond is 17576000

2016-10-02 05:18:17 · answer #2 · answered by ? 4 · 0 0

If you write this out, it would start by looking like this:
_*_*_*_*_*_ where each blank is a space for a letter or number. Let's say the first three spaces are the numbers and the last three spaces are the letters. Since you have ten numbers to choose from (0,1,2,3,4,5,6,7,8,9) put a ten in each of the number blanks so it looks like:
10*10*10*_*_*_. The tens represent all of the possibilites that can go in those spaces.

Next, you have to do the same to the last three blanks with the possibilities for letters. Since there are 26 letters in the alphabet, put 26 in the last three blanks.

Finally, to get the answer, multiply the numbers together and there you have it!

2007-11-29 14:47:26 · answer #3 · answered by Anonymous · 1 0

6 slots
numerical has 10 variations
alphabetical has 26
therefore my dear Watson

10 x 10 x 10 x 26 x 26 x 26 = extreme possibility
times 2 because
26 x 26 x 26 x 10 x 10 x 10 going the other way

however all sequences will not be used

like in Florida - no civilian will have FHP anything
e.g. Florida Highway Patrol

also the bad stuff like SEX - is a NO NO

all the B E S T 2 U

2007-11-29 14:50:17 · answer #4 · answered by tom4bucs 7 · 0 0

well there are 1000 different number combos
then there are 17576 different letter combos ( I think)
so I think that would give you a grand total of 1756000 different combinations

2007-11-29 14:53:43 · answer #5 · answered by CD 3 · 0 0

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