Question

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?

Answer 1

1. I think it means any arrangement of 4 letters with that 6. if this is the case 6 ^ 4 = 1296 possible arrangements.

2. 26^3 = 17576

10^3 =1000

100 * 17576 = 17576000 different licence plates

Answer 2

1. 360

2. 17,576,000

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