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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.

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Algebra II Elements

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  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.)

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