Transcript Algebra II

Do Now: Review 10.4
Multiple Choice
1.) What does 35 P3 mean?
a.) 35  35  35
b.) 35  34  33 c.) 3  2  1
Short Answer
2.) Find the number of arrangements of 3 #’s
for a locker with a total of 35 options if:
a.) all 3 numbers can be repeated
b.) no numbers can be repeated
Algebra II Elements
10.5: Combinations
Hw: p.548 (8-10, 12, 22, 24, 26, 28, 29)
Combinations

An ordering of r objects from a total of n
objects where order is not important is a
combination.

The number of combinations of r objects taken
from a group of n distinct objects is denoted by
n = total # of objects,
r = how many you are taking
 During
the school year, the basketball
team is scheduled to play 12 home
games. If you want to attend at least 3
games, how many different combinations
of games can you attend?
Combination or Permutation
A
club has a president and vice-president
position. Out of 12 students, how many
ways can students be chosen for these
two positions?
Combination or Permutation
 Five
representatives from a group of 120
students are to be chosen. In how many
different ways can students be chosen as
representatives?
A
Combination or Permutation
relay race has a team of 4 runners who
run different parts of the race. There are
20 students on your track squad. In how
many ways can the coach select students
to compete on the relay team?
 For
Combination or Permutation
summer reading, you are asked to
read 2 books from a list of 6 books. How
many different pairs of books can you
choose to read?
Permutations, Combinations, and
Probability
 AND
 OR
 indicates multiplication
 indicates addition
If you have a standard deck of cards,
answer the following questions.
 How
many 5-card hands are possible?
From a standard 52-card deck, find the
number of 5-card hands that contain
the cards specified.
1.) 5 face cards
2.) 4 kings and 1 other card (not a king)
From a standard 52-card deck, find the
number of 5-card hands that contain
the cards specified.
3.) 1 ace and 4 cards that are not aces
4.) 5 hearts or 5 diamonds
5.) 5 red or 5 black