1 / 11

2. How many ways can a baseball manager arrange a batting order of 9 players?

2. How many ways can a baseball manager arrange a batting order of 9 players?. Possibilities for 1 st batter =. 9. Possibilities for 2 nd batter =. 8. Possibilities for 3 rd batter =. 7. 9*8*7*6*5*4*3*2*1 = 9! = 362,880.

colby
Download Presentation

2. How many ways can a baseball manager arrange a batting order of 9 players?

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. 2. How many ways can a baseball manager arrange a batting order of 9 players? Possibilities for 1st batter = 9 Possibilities for 2nd batter = 8 Possibilities for 3rd batter = 7 9*8*7*6*5*4*3*2*1 = 9! = 362,880

  2. 5. A store manager wishes to display 8 different brands of shampoo in a row. How many ways can this be done? Possibilities for 1st bottle = 8 Possibilities for 2nd bottle = 7 Possibilities for 3rd bottle = 6 8*7*6*5*4*3*2*1 = 8! = 40,320

  3. 8. The call letters of a radio station must have 4 letters. The first letter must be a K or W. How many different station call letters can be made if repetitions are not allowed? Possibilities for 1st letter = 2 {K, W} Possibilities for 2nd letter = 25 (any letter other than your 1st letter) Possibilities for 3rd letter = 24 (any letter other than 1st or 2nd) Possibilities for 4th letter = 23 (any letter other than 1st ,2nd, or 3rd) 2*25*24*23 = 27,600

  4. 8. The call letters of a radio station must have 4 letters. The first letter must be a K or W. How many different station call letters can be made if repetitions are allowed? Possibilities for 1st letter = 2 {K, W} Possibilities for 2nd letter = 26 (any letter) Possibilities for 3rd letter = 26 (any letter) Possibilities for 4th letter = 26 (any letter) 2*26*26*26 = 35,152

  5. 10. How many different ways can 9 trophies be arranged on a shelf? Possibilities for 1st trophy = 9 Possibilities for 2nd trophy = 8 Possibilities for 3rd trophy = 7 9*8*7*6*5*4*3*2*1 = 9! = 362,880

  6. 13. Evaluate each of these:a. 8! b. 10! c. 0!d. 1! e. 7P5 f. 12P4g. 5P3 h. 6P0i. 5P5 j. 6P2 40,320 3,628,800 1 1 2,520 11,880 60 1 120 30

  7. 18. How many different ways can a city building inspector visit 6 buildings in the city if she visits them all in 1 day? Possibilities for 1st building = 6 Possibilities for 2nd building = 5 Possibilities for 3rd building = 4 6*5*4*3*2*1 = 6! = 720

  8. 23. How many different ways can 4 tickets be selected from 50 tickets if each ticket wins a different prize? Permutation n = 50 ticketsr = 4 different prizes 50P4 = 5,527,200

  9. 24. How many different ways can a researcher select 5 rats from 20 rats and assign each to a different test? Permutation n = 20 ratsr = 5 different tests 20P5 = 1,860,480

  10. 28. How many ways can 3 cards be selected from a standard deck of 52 cards disregarding the order of selection? Combination n = 52 cardsr = 3 cards 52C3 = 22,100

  11. 38. Wake Up cereal comes in 2 types, crispy and crunchy. If a researcher has 10 boxes of each, how many ways can she select 3 boxes of each for a quality control test? Cripsy: Combination Crunchy: Combination n = 10 boxesr = choosing 3 boxes n = 10 boxesr = choosing 3 boxes 10C3 = 120 10C3 = 120 10C3* 10C3 = 120*120 = 14,400

More Related