3.4 Additional Topics in Probability and Counting

Question 1

Fundamental Counting Principle

Answer 1

If one event can occur in X ways and a second event can occur in Y ways, the number of ways they can occur in sequence in XY ways.

Question 2

Permutation

Answer 2

an ordered arrangement of objects
formula: nPr
word: given that

Question 3

Distinguishable Permutations

Answer 3

n objects with various types of n
formula: n! / n! x n!
word: distinguishable ways/different groups

Question 4

Combinations

Answer 4

selection of r objects from a group of n objects without regard to order (Pascal’s triangle)
formula: nCr
word: how many ways