9-3 The Fundamental Counting Principal Use multiplication to count outcomes A shortcut!!!
Turn and Talk <ul><li>Is there a quicker way to find outcomes? </li></ul><ul><li>Rework p 376 </li></ul>
Concept Map—Fundamental Counting Principal What, Ex, Compare with tree diagram
Find total outcomes <ul><li>Uniform from 3 shirts, 4 pants, 5 colors, and 7 fabrics </li></ul>
Find total outcomes <ul><li>4 watches and 4 bands </li></ul>
Find total outcomes <ul><li>Buying a car with choices of 6 exterior paint colors, 3 interior colors, and 2 body styles </l...
Find total outcomes <ul><li>Class officers: 3 presidential candidates,  </li></ul><ul><li>4 vice presidential, 2 secretary...
Find total outcomes <ul><li>Selecting a letter and a 1 digit number </li></ul>
Find total outcomes <ul><li>Selecting a vowel and a 1 digit number greater than zero </li></ul>
Find total outcomes <ul><li>Tossing a quarter, dime, nickel, and penny </li></ul>
Find total outcomes <ul><li>Monogram a bag with initials </li></ul>
Find the probability of choosing peanut butter and jelly with orange juice <ul><li>6 different sandwiches and 4 juices </l...
Find the probability of picking January and a weekend day <ul><li>Select one month of the year and one day of the week </l...
<ul><li>Choose a music system from 4 receivers, 3 speakers, 2 CD players </li></ul><ul><li>Number of outcomes for tossing ...
<ul><li>4*3*2=24 outcomes </li></ul><ul><li>2*2*2*2*2=32 outcomes </li></ul><ul><li>6*6=36 outcomes </li></ul><ul><li>8*11...
PIZZA
<ul><li>How many different Hoagies can you choose? </li></ul><ul><li>How many different side items can you choose? </li></...
<ul><li>6 hoagies </li></ul><ul><li>7 side items </li></ul><ul><li>16 toppings </li></ul><ul><li>11 pizzas </li></ul><ul><...
Venn Diagram <ul><li>Tree Diagram and fundamental counting principal </li></ul>
Homework <ul><li>P 379: 1-22 </li></ul>
Upcoming SlideShare
Loading in …5
×

9 3 The Fundamental Counting Principal

1,510 views

Published on

Published in: Technology, Business
0 Comments
0 Likes
Statistics
Notes
  • Be the first to comment

  • Be the first to like this

No Downloads
Views
Total views
1,510
On SlideShare
0
From Embeds
0
Number of Embeds
16
Actions
Shares
0
Downloads
14
Comments
0
Likes
0
Embeds 0
No embeds

No notes for slide

9 3 The Fundamental Counting Principal

  1. 1. 9-3 The Fundamental Counting Principal Use multiplication to count outcomes A shortcut!!!
  2. 2. Turn and Talk <ul><li>Is there a quicker way to find outcomes? </li></ul><ul><li>Rework p 376 </li></ul>
  3. 3. Concept Map—Fundamental Counting Principal What, Ex, Compare with tree diagram
  4. 4. Find total outcomes <ul><li>Uniform from 3 shirts, 4 pants, 5 colors, and 7 fabrics </li></ul>
  5. 5. Find total outcomes <ul><li>4 watches and 4 bands </li></ul>
  6. 6. Find total outcomes <ul><li>Buying a car with choices of 6 exterior paint colors, 3 interior colors, and 2 body styles </li></ul>
  7. 7. Find total outcomes <ul><li>Class officers: 3 presidential candidates, </li></ul><ul><li>4 vice presidential, 2 secretary, 5 treasurer </li></ul>
  8. 8. Find total outcomes <ul><li>Selecting a letter and a 1 digit number </li></ul>
  9. 9. Find total outcomes <ul><li>Selecting a vowel and a 1 digit number greater than zero </li></ul>
  10. 10. Find total outcomes <ul><li>Tossing a quarter, dime, nickel, and penny </li></ul>
  11. 11. Find total outcomes <ul><li>Monogram a bag with initials </li></ul>
  12. 12. Find the probability of choosing peanut butter and jelly with orange juice <ul><li>6 different sandwiches and 4 juices </li></ul>
  13. 13. Find the probability of picking January and a weekend day <ul><li>Select one month of the year and one day of the week </li></ul>
  14. 14. <ul><li>Choose a music system from 4 receivers, 3 speakers, 2 CD players </li></ul><ul><li>Number of outcomes for tossing a coin 5 times </li></ul><ul><li>Number of outcomes for rolling a die twice </li></ul><ul><li>Number of ways to choose a whole number between 1 and 10 and then choose a letter from A through K </li></ul><ul><li>Number of different phone numbers if they cannot begin with 0 </li></ul><ul><li>Number of different phone numbers in Alabama if there are two different area codes and the phone number itself cannot begin with a 0 </li></ul><ul><li>Number of license tags if they begin with 2 digits followed by 3 letters that cannot repeat </li></ul><ul><li>Number of 5 digit zip codes </li></ul>
  15. 15. <ul><li>4*3*2=24 outcomes </li></ul><ul><li>2*2*2*2*2=32 outcomes </li></ul><ul><li>6*6=36 outcomes </li></ul><ul><li>8*11=88 outcomes </li></ul><ul><li>9*10*10*10*10*10*10=9,000,000 </li></ul><ul><li>2*9000000=18,000,000 </li></ul><ul><li>10*10*26*25*24=1,560,000 </li></ul><ul><li>10*10*10*10*10=100,000 </li></ul>
  16. 16. PIZZA
  17. 17. <ul><li>How many different Hoagies can you choose? </li></ul><ul><li>How many different side items can you choose? </li></ul><ul><li>How many choices of pizza toppings are there? </li></ul><ul><li>How many specialty pizzas does Buck have? </li></ul><ul><li>How many ways can you choose a hoagie and a side item? </li></ul><ul><li>How many different ways can you choose one of the specialty pizzas and a side item? </li></ul><ul><li>How many different ways can you order a small pizza with one topping and a medium pizza with one topping? </li></ul><ul><li>How many ways can you order a large pizza with one topping and a hoagie? </li></ul>
  18. 18. <ul><li>6 hoagies </li></ul><ul><li>7 side items </li></ul><ul><li>16 toppings </li></ul><ul><li>11 pizzas </li></ul><ul><li>42 ways </li></ul><ul><li>77 ways </li></ul><ul><li>256 ways </li></ul><ul><li>96 ways </li></ul>Answers:
  19. 19. Venn Diagram <ul><li>Tree Diagram and fundamental counting principal </li></ul>
  20. 20. Homework <ul><li>P 379: 1-22 </li></ul>

×