1) Given the sets A = {0, 1, 4, 5} and B = {1, 4}:

a. Draw a Venn diagram of A and B using the universal set U = {0, 1, 2, ..., 8}.

b. Graph A on the number line.

2) Rewrite in an English sentence using the words 'all' or 'not all':

a. {whole number multiples of 6} {even whole numbers}.

b. {square whole numbers} {even whole numbers}.

3) Check the surjectivity of : given by () = 2 , where is a set of real integers.

4) To access a safe requires selecting 4 numbers in the correct order between 1 and 60. Calculate the number of different possible combinations.

5) The letters of the word 'MISSISSIPPI' are to be arranged in a row. Calculate the number of ways this can be done if:

a. there are no restrictions.

b. the S's are to be together.

c. the P's are to be separated.