1 / 11

Algebra II Elements

Algebra II Elements. 10.4: The Fundamental Counting Principle and Permutations Hw : p.542 (19-22 all, 26, 56, 59, 60) Quiz 10.4-10.6: Friday. Fundamental Counting Principle. If one event occurs m ways and another event occurs n ways, then both events occur ways.

jrushing
Télécharger la présentation

Algebra II Elements

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Algebra II Elements 10.4: The Fundamental Counting Principle and Permutations Hw: p.542 (19-22 all, 26, 56, 59, 60) Quiz 10.4-10.6: Friday

  2. Fundamental Counting Principle • If one event occurs m ways and another event occurs n ways, then both events occur ways. • (Can be applied for more than two events.)

  3. Application of Fundamental Counting Principle • You have 3 shirts, 4 pairs of pants, and 2 pairs of shoes. How many outfits of 1 shirt, 1 pair of pants, and 1 pair of shoes can you create?

  4. Application of Fundamental Counting Principle • How many different license plates are possible if you have 1 letter followed by 2 digits followed by 3 letters if letters and digits can repeat? • How many plates are possible if letters and digits cannot repeat?

  5. Factorial • What does 9! mean? Expand and Simplify 1.) 2.)

  6. Permutations • An ordering of n objects is a permutation of the objects where order is important. • The number of permutations of n objects is n!.

  7. Permutations • The number of permutations of r objects taken from a group of n distinct objects is denoted by • We will get these answers using the calculator: MATH button, arrow over to PRB. n = total # of objects, r = how many you are taking

  8. Permutations • 10 people are in a race. • How many different ways can the people finish in the race? • How many different ways can 3 people win 1st, 2nd, and 3rd place?

  9. Permutations • You are burning a CD with 12 songs. How many ways can the songs be arranged on the CD?

  10. Permutations • Ms. Wynes’ 5th period class is playing 7up with a total of 18 students in the class. How many different ways can the people be chosen if order is important?

  11. Permutations • How many different ways can you arrange 3 out of 50 numbers to open a locker? (Assume a number cannot be repeated.)

More Related