Algebra II
10.2: Use Combinations
Quiz 10.1-10.3: Friday, 12/13
Combinations

An ordering of r objects from a total of n
objects where order is not important is a
combination.

The # of combinations =
where
n = total # of objects, r = # you are taking.
Combination or Permutation
 p.691
example 3: 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?
A
Combination or Permutation
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
 p.695
#39: Five representatives from a
group of 280 students are to be chosen for
members of student council. In how many
different ways can students be chosen?
Combination or Permutation
 p.695
#40: A 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?
Permutations, Combinations, and
Probability
 AND
 OR
 indicates multiplication
 indicates addition
If you have a standard deck of cards,
answer the following questions.
 How
 How
many 5-card hands are possible?
many 5-card hands of the same
color 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
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
From a standard 52-card deck, find the number
of 5-card hands that contain the cards specified.
5.) at most 1 queen
From a standard 52-card deck, find the number
of 5-card hands that contain the cards specified.
6.) at least 1 spade