For you awesome poeple who answered my STUPID math question... here is some more.?

Question

Oh, and thank you everyone in advance!! :)

1.) How many liscence plates are possible if four letter words are to be followed by two digits?

2.) How many liscence plates are possible if two letters are to be followed by four digits?

and last but not least...

3.) A 4-letter password is required to enter a computer file. How many passwords are possible if no letter is repeated and nonsense words are allowed?

Answer 1

1. 26x26x26x26x10x10
2. 26x26x10x10x10x10
3. 26x25x24x23

Answer 2

1.) How many liscence plates are possible if four letter words are to be followed by two digits?

26^4 * 100=45,697,400

2.) How many liscence plates are possible if two letters are to be followed by four digits?

26^2 * 10000=6,760,000

and last but not least...

3.) A 4-letter password is required to enter a computer file. How many passwords are possible if no letter is repeated and nonsense words are allowed?

26*25*24*23=35,800

Answer 3

No question is stupid. We all learn something everyday. Don't mention it, I am happy to help.

There are 26 alphabets (A to Z) and 10 numbers (0 to 9).

For each letter on the license plate, there are 26 choices.

For each number on the license plate, there are 10 choices.

1) Possible number of ways to arrange four letters followed by two digits
= 26 x 26 x 26 x 26 x 10 x 10
= 45,697,600

2) Possible number of ways to arrange two letters followed by 4 digits
= 26 x 26 x 10 x 10 x 10 x 10
= 6,760,000

3) Possible number of passwords= 26 x 25 x 24 x 23 = 358,800
Remember that with each letter used, the following slot will have one choice less.

I hope this helps. Good luck.