GOALS: By the end of this unit, you will be able to (1)Use Venn diagrams as a tool for organizing information in counting
problems.(2) Solve introductory counting problems involving the additive and
multiplicative counting principles. (3) Express answers to permutation and combination problems, using
standard combinatorial symbols. (4) Evaluate expressions involving factorial notation, using appropriate
methods. (5) Solve problems, using techniques for counting combinations. (6) Identify patterns in Pascal’s triangle and relate the terms of Pascal’s
triangle to values of
n
r, to the expansion of a binomial, and to the solution of related problems. (7) Communicate clearly, coherently, and precisely the solutions to counting
problems.