Choosing items from a larger group, when the order does not matter. This is different than...

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Page 1: Choosing items from a larger group, when the order does not matter. This is different than permutations in chapter 11.2 items had to be in a certain.

• Choosing items from a larger group, when the order does not matter.

• This is different than permutations in chapter 11.2 – items had to be in a certain order.

11.3 Combinations

Page 2: Choosing items from a larger group, when the order does not matter. This is different than permutations in chapter 11.2 items had to be in a certain.

Combination formula

n = size of the large groupr = number of items chosen – not in any particular order

From “n” items, choosing “r” at a time:

Page 3: Choosing items from a larger group, when the order does not matter. This is different than permutations in chapter 11.2 items had to be in a certain.
Page 4: Choosing items from a larger group, when the order does not matter. This is different than permutations in chapter 11.2 items had to be in a certain.

Using a Calculator for Combinations.

Page 5: Choosing items from a larger group, when the order does not matter. This is different than permutations in chapter 11.2 items had to be in a certain.

A pizza restaurant offers 14 different toppings for its pizzas. How many different 3-topping pizzas are possible?

Page 6: Choosing items from a larger group, when the order does not matter. This is different than permutations in chapter 11.2 items had to be in a certain.

The Prom committee will consist of 5 people. If there are 70 seniors, how many different committees are possible?

Page 7: Choosing items from a larger group, when the order does not matter. This is different than permutations in chapter 11.2 items had to be in a certain.
Page 8: Choosing items from a larger group, when the order does not matter. This is different than permutations in chapter 11.2 items had to be in a certain.

Permutation or Combination??????

If they have to be in order, use __permutation_______If the order doesn’t matter, use __combination_________

Page 9: Choosing items from a larger group, when the order does not matter. This is different than permutations in chapter 11.2 items had to be in a certain.

Classwork

• Page 599-600, #1-10 (determine P or C)• and #27-38 – calculate using Combination.


 · Use the permutations formula. SECTION 11.2 A Formula for Permutations Permutations 611 Batter choices STUDY TIP Batter choices You are the coach of a little league baseball team.

 · Use the permutations formula. SECTION 11.2 A Formula for Permutations Permutations 611 Batter choices STUDY TIP Batter choices You are the coach of a little league baseball team.

Combinations and permutations

Combinations and permutations

Permutations and Combinations Standards: MM1D1b. Calculate and use simple permutations and combinations.

Permutations and Combinations Standards: MM1D1b. Calculate and use simple permutations and combinations.

Permutations Slides

Permutations Slides

Permutations Combinations - Wikispaces6+-+Permutations... · Permutations Combinations Order ... Explain the difference between the permutation and combination formula and why. _____

Permutations Combinations - Wikispaces6+-+Permutations... · Permutations Combinations Order ... Explain the difference between the permutation and combination formula and why. _____

1 permutations

1 permutations

SECTION 15.4 DAY 1: PERMUTATIONS WITH REPETITION/CIRCULAR PERMUTATIONS PRE-CALCULUS.

SECTION 15.4 DAY 1: PERMUTATIONS WITH REPETITION/CIRCULAR PERMUTATIONS PRE-CALCULUS.

Permutations and Combinations AII.12 2009. Objectives: apply fundamental counting principle compute permutations compute combinations distinguish permutations.

Permutations and Combinations AII.12 2009. Objectives: apply fundamental counting principle compute permutations compute combinations distinguish permutations.

Permutations Objective: Solve problems involving linear permutations of distinct or indistinguishable objects.

Permutations Objective: Solve problems involving linear permutations of distinct or indistinguishable objects.

Permutations and Combinations

Permutations and Combinations

Permutations COUNTING!. What is a Permutation? Permutations essentially answer the question “How many ways?” When we talk about permutations, the ORDER.

Permutations COUNTING!. What is a Permutation? Permutations essentially answer the question “How many ways?” When we talk about permutations, the ORDER.

Section 12.3 Permutations and Combinations. Permutations.

Section 12.3 Permutations and Combinations. Permutations.

4 3 Permutations

4 3 Permutations

Probability Permutations and Combinations. Permutations are known as any arrangement of distinct objects in a particular _________. Permutations order.

Probability Permutations and Combinations. Permutations are known as any arrangement of distinct objects in a particular _________. Permutations order.

Permutations and Combinations Permutations and Combinations

Permutations and Combinations Permutations and Combinations

7.4 Permutations and Combinations - UTEP MATHEMATICSmath.utep.edu/Faculty/tuesdayj/math1320/1320Ch7Sec4.pdf · 7.4 Permutations and Combinations Definition: A permutation of n items

7.4 Permutations and Combinations - UTEP MATHEMATICSmath.utep.edu/Faculty/tuesdayj/math1320/1320Ch7Sec4.pdf · 7.4 Permutations and Combinations Definition: A permutation of n items

Field of Permutations

Field of Permutations

11.2 Permutations

11.2 Permutations

12.5 permutations 1

12.5 permutations 1

Permutations and Combinations

Permutations and Combinations