In total all 12 people to sit around a round table with 12 seats have number of ways is : 12*11*10…….. 3*2*1 and is factorial 12 = 479001600 ways.
How many ways can 4 people be seated?
Question 437656: How many different ways can 4 people be seated in a row of 4 seats? There are 4! = 4*3*2*1 = 24 different ways 4 people can be seated in 4 seats (given that the order matters).
How many ways can 3 people be seated?
So there are two answers: There are 3! = 6 different ways of placing these three people in three distinct chairs.
How many ways can people be seated?
We need to multiply the permutation above by 2, since the two people insisting to sit next to each other has a choice if they are to be seated left or right of each other. Therefore, there are 10080 possible ways for eight people to be seated in a row of 8 chairs if two people insist on sitting next to each other.
How many ways can 12 people be seated in a round table with 12 chairs?
the answer is 11! or 39,916,800, because when we say circular permutation the equation for is like this P (n-1)!
How many ways can 4 people sit in 12 chairs?
I broke the question down into 2 parts, then solved them and multiplied the answer to get 11,880 ways.
How many ways can 6 people sit in 4 chairs?
1st person can be seated in 6 ways , 2nd person in 5 ways, 3rd person in 4 ways and 4th person in 3 ways. Required number of ways =(6×5×4×3)=360.
How many ways can 3 boys sit in a 5 chair?
There are (53)=10 ways of picking 3 seats from 5, and there are 3! =6 ways to assign the kids to those 3 seats once you’ve picked them. So using the multiplication principle, there are 10⋅6=60 ways to assign the kids to seats.
How many ways can 5 students be seated in a row of 3 chairs?
Having made that choice, there are 3 students left, any of whom can be chosen for the third chair. So the number of ways of seating (some of) 5 students in 3 chairs is 5 * 4 * 3 = 60.
How many ways can 8 students be seated in a row of 8 seats if 2 of the students insist on sitting beside each other?
Therefore, there are 1,440 ways students be seated in a row of 8 if 2 of the students insist on sitting beside each other.
How many ways can 6 students be seated in a row?
720 ways
Answer and Explanation: There are 720 ways to seat 6 people in a row. Each seating of 6 people is simply a different ordering of the 6 people in the group.
How many seats can you put under one person?
In this instance, you can think about how many ways you can put the SEATS under the PEOPLE. If 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 remaining 7 (put any of the remaining seven seats under the second person), etc.
How many ways can you fill a seat?
So there are 2 ways of filling the next seat for each of the 3 ways to fill the first seat, giving us 2 * 3 = 6 possible ways of filling the two seats altogether: With two seats taken, the one last person left standing takes the last seat.
Why are we not counting people in seat arrangements?
Reply to Emory Richardson’s post “Okay, so this makes sense, but what’s a good expla…” Comment on Emory Richardson’s post “Okay, so this makes sense, but what’s a good expla…” Posted 6 years ago. Direct link to Maryna Nka’s post “Notice that we’re not counting people here, or cha…” Notice that we’re not counting people here, or chairs.
How to count the number of seats in a room?
If 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 remaining 7 (put any of the remaining seven seats under the second person), etc. This gives 8*7*6*5*4=8!/3!= 8 P 5
