Define .

Which of the following is not a subset of the set ?

The above set represents the numbered cards in a standard deck of cards. What value is missing?

Ten students are running for Senior Class President. Each member of the student body will choose five candidates, and mark them 1-5 in order of preference.

Roy wants Mike to win. How many ways can Roy fill out the ballot so that Mike is his first choice?

Mary is making a very long necklace with a variety of beads. The beads are white, blue, and black, and she strings them on the necklace, in that order. What color is the 213th bead?

The sophomore class elections have six students running for President, five running for Vice-President, and six running for Secretary-Treasurer. How many ways can a student fill out a ballot if he is allowed to select one name per office?

The junior class elections have four students running for President, five running for Vice-President, four running for Secretary-Treasurer, and seven running for Student Council Representative. How many ways can a student fill out a ballot?

Seven students are running for student council; each member of the student body will vote for three. Derreck does not want to vote for Anne, whom he does not like. How many ways can he cast a ballot so as not to include Anne among his choices?

If every number in set appears in set , which consists of multiples of , which of the following could describe set ?

What is the value of in the sequence below?

Define two sets as follows:

Which of the following is a subset of ?