1.how many 4 letters words can be made from 6 letters “aebwdp”?

2.all of the license plates in a particle state feature 3 letters followed by 3 digits. how many different license plates are available to the state department or motor vehicles?

1. 360

2. 17,576,000

Step-by-step explanation:

1.

Assume you can use each letter only once. You are making 4-letter words. For the first letter, you can choose from the 6 letters. For the second letter, you can choose from the remaining 5 letters. For the third letter, you can choose from the remaining 4 letters. For the fourth letter, you can choose from the remaining 3 letters.

6 * 5 * 4 * 3 = 360

2.

For each of the letter, you can choose from 26 letters. For each of the digits, you can choose from 10 digits.

26 * 26 * 26 * 10 * 10 * 10 = 17,576,000

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!