Algebra II

1
Algebra II

• 10.2 Use Combinations
• Quiz 10.1-10.3 Friday, 12/13

2
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.

3
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?

4
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?

5
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?

6
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?

7
Permutations, Combinations, and Probability

• AND ? indicates multiplication
• OR ? indicates addition

8
If you have a standard deck of cards, answer the
following questions.

• How many 5-card hands are possible?
• How many 5-card hands of the same color are
  possible?

9
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

10
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

11
From a standard 52-card deck, find the number of
5-card hands that contain the cards specified.

• 5.) at most 1 queen

12
From a standard 52-card deck, find the number of
5-card hands that contain the cards specified.

• 6.) at least 1 spade