Help with statistics homework? - how many ways can 12 people sit at a circular table
No answer to that question at all. Any help would be greatly appreciated:
They have a round table with 12 people sitting around them. Here you will find the number of permentations around the table. How many ways can 12 people sit around a round table.
Sunday, February 7, 2010
How Many Ways Can 12 People Sit At A Circular Table Help With Statistics Homework?
6 comments:
= M nuumber all
Persons n = SIT
Permutations P =
In a right-side table with a concrete starting point:
P = m! / (Mn)! = 12! / (12-12)! = 12! / 0! = 12! / 1 = 479001600
In a roundtable with no definite starting point:
P = m! / (Mn)! N = 12! / (12-12)! 12 = 12 "/ 12 = 479001600 / 12
P = 39916800
People Example 3:
I could sit at a table like flies:
1 2 3
1 3 2
2 1 3
2 3 1
3 1 2
3 2 1
But in a round-table
2 1 3 = 3 2 1 = 1 3 2 and
2 3 1 = 3 1 2 = 1 2 3
Thus, there are 3! / 3 = 6 / 3 = 2
lowan4321 is correct and the reasoning is perfect, but your last answer is wrong. T is the right question
There are 12 people in a circle, then 1 person must be "solid" in one room. That 11 people who can organize 11 sheets! 11x10x9x8x7x6x5x4x3x2x1 = = 39,916,800 combinations are possible for 12 people seated at a round table.
Hope that helped
144 (CKSQ)
For the purposes of the discussion say that people are P1 through P12. As the table all is specified, I assume that these are two schemes are the same ....
P1, P2, P3, P4, P5, P6, P7, P8, P9, P10, P11, P12
P2, P3, P4, P5, P6, P7, P8, P9, P10, P11, P12, P1
Under this condition can be in any seat at the table P1. The 11 seats that could serve P3 P2 leaves have 10 options. P4 would have 9 choices, and so on.
Number of permutations = 11 * 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 = 11! = 1165570560
Look at it this way. There are 12 places
12 persons possible that the first seat
11 people as possible on the left side for the second seat
10 persons, left to third place
According to the rules of permutations, the answer is 12 * 11 * 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 or 12!
Multiply.
Note that if the actual situation, what is important, because it is a round table and divide the result of 12 In other words, if all we have then left for a seat as the same or a different arrangement?
I will not have the answer, but I'll explain how to get there. Pick a seat. As many people as possible to sit in the seat? The answer is 12 Move the seat next. If one of the twelve is sitting, how many are sitting on the seat next to this person? The answer is 11 Keep doing this and you have more people. Multiply the number and you will get your answer.
12 * 11 * 10 ...
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