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Math 1332

Math 1332. Chapter 11.1 Counting Principle. Fundamental Counting Principal. This is used when you want to find how many ways items can be combined. Find the number of ways a die and a coin can be combined starting with the die followed by the coin. 1 H 1 T 2 H 2 T 3 H 3 T

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Math 1332

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  1. Math 1332 Chapter 11.1 Counting Principle

  2. Fundamental Counting Principal This is used when you want to find how many ways items can be combined. Find the number of ways a die and a coin can be combined starting with the die followed by the coin. 1 H 1 T 2 H 2 T 3 H 3 T 4 H 4 T 5 H 5 T 6 H 6 T Twelve Ways ! !

  3. Fundamental Counting Principal Process: Multiply the numbers together How many ways can a person make a table setting with five different colored glasses and three different plates?

  4. I own 6 pants, 12 shirts, and 5 ties. How many different outfits can I make wearing one of each clothing item? How many of these outfits will my wife let me wear outside of the house?

  5. Math 1332 Chapter 11.2

  6. Advanced Counting This is used when you have restrictions on order or other changes How many ways can you write the letters A, B, C, D if you don’t re-use them? First letter = 4 choices Second letter = 3 choices Third letter = 2 choices Fourth letter = 1 choice 4*3*2*1 = 24

  7. Factorial Used when descending numbers are multiplied

  8. Permutation Used to calculate how many groups you will get if you have n items and take r of them at one time

  9. How many different choices do I have if I select 4 glasses from my collection of 8?

  10. I have 12 CD’s. How many ways can I play three of them?

  11. If some items repeat the formula becomes: How many different ways can the digits of the number 133,555 be arranged?

  12. If I have 9 flags (4 green, 3 blue, and 2 white) how many different ways can they be arranged?

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