![adelawilliams60](/avatars/2269.jpg)
adelawilliams60
21.08.2019 •
Mathematics
In maricopa county, 5 persons are to be elected to the board of supervisors. if 8 persons are candidates, how many different arrangements are possible?
6,720
336
56
Solved
Show answers
More tips
- O Other What is the oldest joke ever told?...
- F Food and Cooking How to Make Lazy Cabbage Rolls? Simple Steps to a Delicious Dish...
- F Food and Cooking Unusually Delicious Shashlik - Follow the Etiquette of Proper Preparation!...
- L Leisure and Entertainment Couchsurfing: A New Way to Travel...
- G Goods and services Which TV is better - LCD or Plasma?...
- S Sport How to Learn to Pull Up on Monkey Bars?...
- L Leisure and Entertainment Scrapbooking: What is it and Why is it Becoming More Popular?...
- C Computers and Internet Where did torrents.ru move to?...
- B Business and Finance Understanding Cash Flow: What It Is and How It Works...
- C Computers and Internet What Are Peers and Seeds in Torrenting?...
Answers on questions: Mathematics
- M Mathematics Who do you want to see in jumpforce or what show do you want to see in jumpforce...
- M Mathematics Solve for x. Round to the nearest hundredth HELP A GIRL OUT PLEASE :)...
- M Mathematics 1. Two events, A and B, are independent. P(A) = .82 and P(B) = .54. Find P(A and B). Give your answer as a decimal....
- M Mathematics Raul calculated that he would spend $125 on school supplies this year. he actually spent $87.50 on school supplies. what is raul’s percent of error? a: 42.9%b: 37.5%c:...
- S Spanish Fill in the blanks with the preterite of ser or ir. then write the infinitive form of the verb you used. june 19 11: 59 pm 2 attempts remaining grade settings external...
- M Mathematics Solve by factoring. n^2 + n – 12 = 0 A. n = –4 or n = 3 B. n = –4 or n = –3 C. n = 4 or n = –3 D. n = 4 or n = 3...
- E English Which two topics and tasks would be best to discuss in a group...
- E English Hey you, yea you, just answer this question real quick what is the tone of the passage? the french revolution was indeed a monumental event in french history. the main...
Ответ:
the position of the candidate's name on the list matters.
The first name can be any one of the 8. For each one . . .
The second name can be any one of the remaining 7. For each one . . .
The third name can be any one of the remaining 6. For each one . . .
The fourth name can be any one of the remaining 5. For each one . . .
The fifth name can be any one of the remaining 4.
The total number of possible 'arrangements' = (8 x 7 x 6 x 5 x 4) = 6,720 .
(That's 8! / 3! .)
But for this type of problem, the order usually doesn't matter ... it's all
the same thing whether 'Jones' is 1st, 3rd, or 5th on the list etc.
Then the question is really: How many different groups of 5 can be
nominated with 8 candidates ?
Well, how many different ways can you arrange 5 names ?
Using the same type of reasoning as above, 5 names can be
lined up in (5 x 4 x 3 x 2 x 1) = 120 different orders.
So, while it's true that you can make 6,720 different 5-name line-ups
with 8 names, every possible group appears on that huge list shuffled
in 120 different orders.
If the order doesn't matter, then there are only (6,720 / 120) = 56 different
groups of 5 names, although they appear in every possible shuffle on the
big list.
Ответ: