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How many different ways can 8 people line up

http://faculty.winthrop.edu/polaskit/Fall03/Math140/combin.pdf http://www.stat.ucla.edu/%7Edinov/courses_students.dir/02/Fall/STAT100A.dir/HWs.dir/HW1_sol.pdf

How many different ways can 3 people line up? - Answers

WebThere are 5! = 120 ways to do this. However, the two specific persons can switch places within their unit, so there are actually 2 ways to arrange them within their unit. Therefore, there are 120 * 2 = 240 possible ways in this case. Case 2: The two specific persons are not next to each other. WebThe general permutation can be thought of in two ways: who ends up seated in each chair, or which chair each person chooses to sit in. This is less important when the two groups are the same size, but much more important when one is limited. n and r are dictated by the limiting factor in question: which people get to be seated in each of the limited number of … jean torpey https://lixingprint.com

9.5 Counting Principles - College Algebra 2e OpenStax

WebFrom a class of 28 students, how many different ways can 4 students be selected to serve on the student council as president, vice president, secretary and treasurer? The boy's volleyball team has 24 players. If the coach chooses 9 boys to play at a time,how many different teams can be formed? Five cards are dealt from a standard deck of 52 cards. Web6. In how many ways may can five persons line up to get on a bus? 7. In how many ways may these same people line up if two of the people refuse to stand next to each other? 8. … Web8 years ago In Permutations the order matters. So ABC would be one permutation and ACB would be another, for example. In Combinations ABC is the same as ACB because you are combining the same letters (or people). Now, there are 6 (3 factorial) permutations of ABC. luxottica rewards 2021

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How many different ways can 8 people line up

How many different ways can 3 people line up? - Answers

WebJul 11, 2006 · In any queue of eight people there are 8!= 40320 ways to arrange the people. The first can be chosen in 8 ways, the second in 7 ways, the third in 6 ways, etc. So you get by the basic counting rule, 8!= (8) (7) (6)… (2) (1)= 40320. J JakeD Junior Member Joined Apr 28, 2006 Messages 177 Jul 10, 2006 #3 Hi. WebIn how many Eight. different ways can the gold, silver and bronze medals be awarded? Using the Basic Counting Rule, there are 8 choices for the gold medal winner, 7 remaining …

How many different ways can 8 people line up

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Web1 Answer Sorted by: 1 Any of the 4 people can be the first person. Then, there are 3 remaining choices for the second person, then 2 remaining choices for the third, and then the fourth has been decided. Hence, there are n! possible ways. Share Cite Follow answered Apr 28, 2014 at 21:09 Kaj Hansen 32.4k 4 55 96 Add a comment Web8 years ago In Permutations the order matters. So ABC would be one permutation and ACB would be another, for example. In Combinations ABC is the same as ACB because you are …

WebSo multiplying all these numbers we get 8*4*3*3*2*2*1*1 = 1152 ways of arranging the people d) the men can be considered again a “block” and permuted along with the remaining 3 women in 4! ways and as we can also permute the men within the block in 5! WebLet’s say we have 8 people: 1: Alice 2: Bob 3: Charlie 4: David 5: Eve 6: Frank 7: George 8: Horatio How many ways can we award a 1st, 2nd and 3rd place prize among eight …

WebRotations of a sitting arrangement are considered the same, but a reflection will be considered different. Solution 1: Since rotations are considered the same, we may fix the … Webmhitselberger. If you consider the colors as letters, then you can easily see how the order matters. B-A-R-N is a completely different word than N-A-B-R, even though the same letters were used. So the order of the letters (colors) matters. Or think of four numbers. 1-2-3-4 is different from 3-1-4-2, although the same numbers are used.

WebJul 17, 2024 · Suppose we have three people named A, B, and C. We have already determined that they can be seated in a straight line in 3! or 6 ways. Our next problem is …

WebIn how many ways: a. Can 8 people be lined up to get on a bus? b. Can they be seated if 4 specific persons, among 8, insist on following each other? c. Can they be seated if 2 … jean toomer peopleWebIf you have 5 people and 8 seats where order matters, you can put the first person in any of the 8 seats (put any of the 8 seats under person 1), the second person in any of the … luxottica return address in gaWebApr 21, 2024 · To solve for total possible starting lineup combinations we simply take 13!/(5! *(13–5)!) which is equal to 1,287 possible starting line ups when order or player position … jean toth peintreWebDec 21, 2014 · 7! = 7*6*5*4*3*2*1 = 5040. This particular problem is a permutation. Recall, the difference between permutations and combinations is that, with permutations, order matters. Given that the question asks how many ways the students can line up for recess (i.e. how many different orders), this is a permutation. Imagine for the moment that we … jean toots thielemansWebMath Probability In how many ways can 8 people be seated in a row if a.) there are no restrictions on the seating arrangement (answer is 8! = 40,320) , b.) persons A and B must … luxottica rewards 2022WebApr 13, 2024 · So, it can be filled in 9 9 ways. Now we cannot use the number we used in the hundredths place in the tenth place. But we can use 0 0. So, we can fill the tenth place in 9 9 ways, too. The units digit can be filled in 8 8 places since two numbers are now unavailable. jean top maxi dressWeb6. In how many ways may can five persons line up to get on a bus? 7. In how many ways may these same people line up if two of the people refuse to stand next to each other? 8. … luxottica shift hours