Consider all 5 letter "words" made from the full english alphabet. (a) how many of these words are there total? (b) how many of these words contain no repeated letters? (c) how many of these words start with an a or end with a z or both (repeated letters are allowed)?

a) There are 11,881,376 of these words in total.

b) 7,893,600 of these words contain no repeated letters.

c) 896,376 of these words start with an a or end with a z or both.

Step-by-step explanation:

The English alphabet has 26 letters.

Our word has the following format

C1 - C2 - C3 - C4 - C5

C1 is the first character, C2 the second, etc...

(a) How many of these words are there total?

Each of C1, C2,... can be 26. So the total is

There are 11,881,376 of these words in total.

(b) How many of these words contain no repeated letters?

C1 can be any letter. C2 can be any letter bar the letter at C1. C3 any other than C2, C1... So

26-25-24-23-22

7,893,600 of these words contain no repeated letters.

(c) How many of these words start with an a or end with a z or both (repeated letters are allowed)?

Start with a, end with any letter other than z.

1-26-26-26-25

End with z, start with any other letter than A

25-26-26-26-1

Start with A, end with Z

1-26-26-26-1

896,376 of these words start with an a or end with a z or both.

your answer   is c

step-by-step explanation:

0.0076, if you meant 4.125 divided by 0.03125 it would be 132

step-by-step explanation:

first you have to move the decimal in 0.03125 over until its behind the 5 which is 5 places over. now the number is 3125

then you have to move the decimal in 4.125, 5 places over. now the number is 4,112,500.

now you divide like you would normally would and get 0.0076