# Section 12.5: Review for Chapter 12

Studying for a chapter examination is a personal process, one which nobody else can do for you. Simply take the time to review what you have done.

Here are the new terms in Chapter 12.

Arrangement [12.1}
Binomial theorem [12.2}
Cards, deck of [12.2}
Combination [12.2}
Count-down property [12.1}
Distinguishable permutation [12.1}
Factorial [12.1}
Fundamental counting principle [12.1}
Instant Insanity [12.4}
Multiplication property of factorials [12.1}
Ordered pair [12.1}
Ordered triple [12.1}
Permutation [12.2}
Rubik’s cube [12.4}
Tree diagram [12.1}

If you can describe the term, read on to the next one; if you cannot, then look it up in the text (the section number is shown in brackets).

IMPORTANT IDEAS

Can you explain each of these important ideas in your own words?

Fundamental counting principle [12.1}
Multiplication property of factorials [12.1}
Formula for permutation [12.1}
Formula for distinguishable permutations [12.1}
Formula for combination [12.2}
Classify and identify counting techniques. [12.3}
Applications of counting (Rubik’s Cube and Instant Insanity) [12.4}

Next, make sure you understand the types of problems in Chapter 12.

TYPES OF PROBLEMS

Apply the fundamental counting principle. [12.1}
Simplify expressions involving factorials. [12.1}
Know the permutation formula. [12.1}
Evaluate permutations and distinguishable permutations. [12.1}
Know the combination formula. [12.2}
Evaluate combinations. [12.2}
Distinguish among a permutation, a combination, a distinguishable permutation, and the
fundamental counting principle. [12.3}