Table of Contents
How many different ways can 9 friends sit in a row of seats?
5040 configurations, now we multiply this with this 16 choices from above and get they can sit in 80640 ways.
How many ways are there to arrange 11 people in a line up?
Thus, 11 people can be seated at a table (with eleven chairs) 39,916,800 different ways.
How many different ways can 9 people be seated in a row of 4 chairs?
If seating 1, 2, 3, 4 is different 4, 3, 2, 1, then there are 3024 ways to seat the students.
How many different ways can a party of seven politicians be seated in row?
So there are 5040 ways of arranging seven people in a row of seven chairs.
How many ways can 7 students be seated in seven seats?
So there are 5040 ways of arranging seven people in a row of seven chairs. I think the proof of this is best seen by making a tree diagram and noting that the number of branches at the end tells you the number of possible arrangements/permutations.
How many different ways can 11 people sit at a table?
The formula is the same. In this case it is 4 x 3 x 2 x 1. Thus, 11 people can be seated at a table (with eleven chairs) 39,916,800 different ways. The formula is the same: 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1.
How many seats does the first person have to choose from?
Now first person shall have option to choose from 11 seats. I mean, he can sit on anyone from those 11 chairs. But once the first person is seated, second person shall now have option to choose from remaining 10 seats. This goes down to last person, who shall have left with no choice at all, but to be seated in the last remaining seat.
How many ways can 10 people be seated abreast?
The number of ways 10 people can be seated abreast = 10! = 3,628,800. This is also the number of ways that 10 people can be seated at a round table if we choose a particular point to be the beginning and end of the row. But there are 10 possible such points.
How many chairs need to be filled with 11 people?
Consider it this way, there are 11 chairs which needs to be filled with 11 persons. Now first person shall have option to choose from 11 seats. I mean, he can sit on anyone from those 11 chairs.