How many different ways can 10 people line up
WebDec 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 … WebHow many lineups are possible? 20 An election ballot asks voters to select three city commissioners from a group of six candidates. In how many ways can this be done? 330 A four-person committee is to be elected from an organization's membership of 11 people. How many different committees are possible? 3003
How many different ways can 10 people line up
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WebJul 17, 2024 · The first problem comes under the category of Circular Permutations, and the second under Permutations with Similar Elements. Circular Permutations 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. 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. In how many ways may 8 people form a circle for a folk dance? 9. How many permutations are there of the letters in the word “great”? 10.
WebApr 10, 2024 · How many ways are there to line up the ten people? Answer for Proble #1: 10! = 10 ⋅ 9 ⋅ 8 ⋅ 7 ⋅ 6 ⋅ 5 ⋅ 4 ⋅ 3 ⋅ 2 ⋅ 1 = 3, 628, 800 Problem #2: How many ways are there to … 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 …
WebOct 26, 2010 · There are n! (n factorial) ways that n people can stand in line. So six people can stand in line in: 1*2*3*4*5*6 = 720 different ways. WebClick here to see ALL problems on Probability-and-statistics. Question 1118862: In how many ways can seven people line up at a checkout counter in a supermarket? Answer by ikleyn (47915) ( Show Source ): You can put this solution on YOUR website! . 7! = 7*6*5*4*3*2*1 = 5040 ways.
WebNov 21, 2024 · Solution: The first group can be chosen in 10 C 5 = 252 ways. There is just 1 way of choosing the second and final group from the 5 people who now remain. In the …
WebThis would mean 9! Then, 10! - 9! = 3265920 ways for the ten people to be seated so that a certain to are not next to each other. combinatorics Share Cite Follow asked Sep 17, 2024 at 18:03 Ludwigthestud 195 1 2 13 2 Your approach is correct except for one detail: the two people seated next to each other can be arranged in two (left/right) ways. literally yesWebThe number of ways this may be done is 6 × 5 × 4 = 120. Using factorials, we get the same result. 6! 3! = 6 · 5 · 4 · 3! 3! = 6 · 5 · 4 = 120 There are 120 ways to select 3 officers in order from a club with 6 members. We refer to this as a permutation of 6 taken 3 at a time. The general formula is as follows. P ( n, r) = n! ( n − r)! importance of inclusiveness in nepalliterally works nytWebIn how many ways can 10 people line up for a bus ticket? Answer: There can be possible ways. Question thumb_up 100% Transcribed Image Text: In how many ways can 10 … importance of inclusivenessWebIn 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. Therefore, to calculate the … literally you meaningWebSep 13, 2024 · Explanation: Permutation =n P r = n! (n − r)! Where n = 5 and r = 5(since 5 students are taking at a time) ⇒ 5! (5 −5)! = 5! 0! = 5 × 4 × 3 × 2 × 1 1 = 120ways. importance of inclusive education pptWebApr 14, 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. importance of inclusive classroom