How many license plates can you build with 3 letters and 3 numbers with repetitions? You also need the additive principle.

- anonymous

- jamiebookeater

I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!

At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your **free** account and access **expert** answers to this

and **thousands** of other questions

- anonymous

26*26*26*10*10*10
26 possible letters, 10 possible numbers.
You can start with 26 different letters. For each, the next can be 26 different letters. For each of those, 26 possible letters.
Then, for each of those, 10 possible numbers and so on

- anonymous

- anonymous

that cant be right because there are only 3 letters and 3 numbers

Looking for something else?

Not the answer you are looking for? Search for more explanations.

## More answers

- anonymous

then you need to calculate possible ordering and remove new orders that duplicate. Try it and post if you get stuck

- anonymous

where is the 26 and 10 coming from

- anonymous

26 letters in the alphabet, 10 different digits

- anonymous

you can only use 3 letters
and 3 numbers

- anonymous

it doesnt say 26 numbers

- anonymous

26 letters

- anonymous

I think that means 3 of the characters on the plates are letters, and there are 26 different choices for each letter slot. Maybe I'm misunderstanding, but that is what the question would normally ask

- anonymous

How many license plates can you build with 3 letters and three numbers with repetiion

- anonymous

so im thinkink its sayying like letters {a,b,c} and numbers {1,2,3}

- anonymous

so MKV123 is 3 of each, but so is JHC567. Both are 3 of each, as is 1T2U4B

- anonymous

no

- anonymous

the 26*26*26 thing was right

- anonymous

but i have to use the additive princible

- anonymous

yeah, because you can start with a letter or a number which increases the permutations, then reduce that for the reorderings that end up duplicating a permutation

- anonymous

can you show me how to do it im not understanding what to do

- anonymous

so in your book, you have stuff like 3P26, 10C12 and that sort of thing.
the 26 P 3 rather... 26 things taken 3 at a time. There will be a formula with it

- anonymous

but we can have repeats, so we are really using 26 P 1 three times

- anonymous

which gives us the 26*26*26

- anonymous

yeah i figured that out im not sure where to go from there

- anonymous

so you do 26*26*26*10*10*10 first. Then we can start with any of the three letters or numbers, yes? So 6 choices, then 5 for the next slot, 4 choices for the third slot and so on, and that ends up being 6! which we multiply our already big number by

- anonymous

We would be done here except that we don't want to double count duplicates.
if I have WWC567 and I swap the two Ws, then I don't actually have a new license number

- anonymous

So we need to figure out how many times that happens

- anonymous

For any given arrangement, only swapping around letters or numbers with the same type could duplicate us. If I swap a letter and a number, I'm going to have a new arrangement.

- anonymous

Is there anyone else that can jump in here? I need to run. I didn't think this would take a while.

- anonymous

This bit is where you use the combinations formulas to eliminate repeats

- anonymous

I'm sorry, I have to meet friends in 10 minutes. Reread the examples in your book and see how far you get. Hopefully someone else will jump in!

Looking for something else?

Not the answer you are looking for? Search for more explanations.