# Thread: PLEASE HELP with Permutations

1. ## PLEASE HELP with Permutations

here's the problem:

the license plates for a certain state display 3 letters followed by 3 numbers. how many different license plates can be manufactured if no repetitions of letters or digits are allowed?

is this how i set it up?

9x8x7 and 26x25x24

how do i combine the two? i need to use a permutation right?

2. Originally Posted by acharles
here's the problem:

the license plates for a certain state display 3 letters followed by 3 numbers. how many different license plates can be manufactured if no repetitions of letters or digits are allowed?

is this how i set it up?

9x8x7 and 26x25x24

seems right, but 9 digits? is 0 not a digit?

Originally Posted by acharles
how do i combine the two?
By multiplication

3. Originally Posted by acharles
here's the problem:

the license plates for a certain state display 3 letters followed by 3 numbers. how many different license plates can be manufactured if no repetitions of letters or digits are allowed?

is this how i set it up?

9x8x7 and 26x25x24

how do i combine the two? i need to use a permutation right?
It's 10*9*8 since 0-9 has 10 digits.

So...

26P3 * 10P3 = 11,232,000

EDIT: blah, a bit too slow to it :P was watching TV while reading forum during commercial lol

### license plates in a particular state display 3 letters followed by 3 numbers. how many different license plates can be manufactured for thisâ€‹ state?

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