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Lesson 5.1, continued

Lesson 5.1, continued. Multiplication principal for counting. Multiply the possible outcomes for each event as the possibilities can be combined in any way. (i.e. order doesn’t matter). …gives total number of possibilities. Counting principal.

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Lesson 5.1, continued

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  1. Lesson 5.1, continued Multiplication principal for counting

  2. Multiply the possible outcomes for each event as the possibilities can be combined in any way. (i.e. order doesn’t matter). …gives total number of possibilities. Counting principal

  3. How many outfits are possible if you have 3 pairs of pants, 4 shirts, and 2 pairs of shoes? Tree Diagram Example

  4. How many different lunches can be chosen if there are 6 entrees, 5 desserts, and 8 drink choices. Example 2

  5. i.e. when order matters. • Used for codes, ID’s, passwords, license plates,…etc. • Still gives total # of possibilities. Generalized Mult. Prin. For Counting

  6. WCHS passwords ____ ____ ____ ____ ____ ____ # # # L LL Example 3

  7. WCHS passwords • Numbers and letters cannot be used more than once. ____ ____ ____ ____ ____ ____ # # # L LL No repeats

  8. WCHS passwords • 1st # cannot be 0. ____ ____ ____ ____ ____ ____ # # # L LL No repeats…and more

  9. License plates • 1st and 2nd # cannot be 0 ____ ____ ____ ____ ____ ____ ____ # # L # # # # Example…

  10. Whiteland Phone Numbers ____ ____ ____ - ____ ____ ____ ____ 5 3 5 # # # # Example…

  11. A parking permit sticker displays an identification code consisting of a letter (A, B, or C), followed by a digit (1, 2, 3, 4). How many different permits can be issued? Marker boards

  12. A clothing store sells windbreakers, ski jackets, and overcoats in your choice of red or purple. How many different kinds of coats do they sell? Marker boards

  13. How many eight-symbol computer passwords can be formed using the letters A to J and the digits 2 to 6? Marker boards

  14. A computer network password consists of two letters, the first being X, Y, or Z and the second being A, B, C, D, or E. How many different passwords are there? Marker boards

  15. A suitcase combination lock has four wheels, each labeled with the digits 0 to 9. How many lock combinations are possible? Marker boards

  16. A designer has created a completely mixable line of five shirts, nine ties, and four pairs of pants and advertises that the “possibilities are endless.” Exactly how “endless” are the possible different outfits consisting of a shirt, a tie, and a pair of pants? Marker boards

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