7.3 Basic Counting Principles

Question 1

What is a counting technique?

Answer 1

If the enrollment in a college chemistry class consists of 13 males and 15 females,
then there are a total of 28 students enrolled in the class. This is a simple example of a counting technique, a method for determining the number of elements in a set without actually enumerating the elements one by one

Question 2

What is a union and its corrosponding symbol?

Answer 2

if M is the set of male students
in the chemistry class and F is the set of female students, then the union of sets M and F, denoted M∪F, is the set of all students in the class.

Question 3

What is an intersection (upside down U) , an empty set and a disjoint set?

Answer 3

Since these sets have no ele-ments in common, the intersection of sets M and F, denoted M¨F, is the empty set ∅; we then say that M and F are disjoint sets.

Question 4

THEOREM 1 Addition Principle (for Counting)

Answer 4

Question 5

THEOREM 2 Multiplication Principle (for Counting)

Answer 5

Question 6

Formula for counting hte number of possabilities for two events NOT happening

Answer 6

Question 7

What does disjoint mean?

Answer 7

Two events, say A and B, are defined as being disjoint if the occurrence of one precludes the occurrence of the other; that is, they have no common outcome.