Thursday 15-3 Permutations and Combinations

WARM UP
 What is the probability that a point chosen at random
on the grid will lie in the unshaded region?
𝑈𝑛𝑠ℎ𝑎𝑑𝑒𝑑
𝑇𝑜𝑡𝑎𝑙
40
=
64
5
=
8
FUNDAMENTAL COUNTING PRINCIPAL
 If event M can occur in m ways and event N
can occur in n ways, then event M followed by
event N can occur in m×n ways.
 EX: A menu with 4 entrees and 6 drinks has
4×6=24 possible lunch specials.
USING THE FUNDAMENTAL COUNTING PRINCIPLE
COMBINATIONS AND PERMUTATIONS
 Permutations- arrangement for which the
order does matter.
 Combinations- sets of items for which the
order does not matter.
N FACTORIAL
n Factorial: For any number(n), n
factorial (n!) is
PERMUTATION
Permutation Notation:
USING THE PERMUTATION FORMULA
COMBINATIONS
Combination Notation:
USING THE COMBINATION FORMULA
n
r
FINDING PROBABILITIES
ASSIGNMENT
Pg. 626 #3-14