• Nov 17th 2008, 04:40 PM
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?
• Nov 17th 2008, 06:14 PM
Rapha
Quote:

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?

Quote:

Originally Posted by acharles
how do i combine the two?

By multiplication
• Nov 17th 2008, 06:19 PM
TitaniumX
Quote:

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