How Many Ways Can 12 People Be Seated?

Unpack the core facts How Many Ways Can 12 People Be Seated supported by expert analysis.

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.

Marcus Vance

Marcus Vance

Cybersecurity & Digital Privacy Researcher

Marcus Vance is a cybersecurity auditor and technology writer dedicated to educating the public about online safety, data privacy regulations, enterprise security, and emerging cyber threats.

Share this article
Twitter Facebook Pinterest