Table of Contents
- 1 How many ways are there to seat 2 people on 4 chairs?
- 2 How many ways can 7 new students be assigned to 7 classrooms?
- 3 How many ways can 4 friends sit together at the movies in 4 seats?
- 4 How many chairs are evenly spaced around a circular table?
- 5 How many people can sit at a rectangular dining table?
How many ways are there to seat 2 people on 4 chairs?
The 2nd person can ALSO sit in any of 4 chairs for each choice made by the 1st person. 4 x 4 = 16. BUT of these 16 combinations, 4 have both people in the same chair. so 16-4 = 12.
How many ways you can place students in 4 chairs?
Look at it this way: how many ways are there to assign 3 of 4 seats, where order matters? The answer is 4P3 = 24.
How many ways can 7 new students be assigned to 7 classrooms?
7! =7⋅6⋅5⋅4⋅3⋅2⋅1=5040.
How many ways can 4 people sit in 3 chairs?
24 possible ways
Answer. or 24 possible ways to fill the three chairs. Okay, okay! The main distinction between this example and the first example on this page is that the first example involves arranging all 4 people, whereas this example involves leaving one person out and arranging just 3 of the 4 people.
How many ways can 4 friends sit together at the movies in 4 seats?
The possible ways 4 people can sit next to each other in a movie theater row is 24 ways.
How many ways can one person be seated in each chair?
Each person gets up and sits down in a chair that is not the same and is not adjacent to the chair he or she originally occupied, so that again one person is seated in each chair. In how many ways can this be done? Consider shifting every person over three seats (left or right) after each person has gotten up and sat back down again.
How many chairs are evenly spaced around a circular table?
Six chairs are evenly spaced around a circular table. One person is seated in each chair. Each person gets up and sits down in a chair that is not the same and is not adjacent to the chair he or she originally occupied, so that again one person is seated in each chair.
How much space do you need between rows of chairs?
Leave ample space between rows of chairs for people to move. Movie theaters use 36 inches of space from the back of a row of chairs to the backs of the chairs in the row behind. Apply a similar formula to space the rows with 18 inches of space from the front of the opened chair to the back of the chair in front.
How many people can sit at a rectangular dining table?
Formal dining (30” chair spacing) for rectangular tables: A 60” to 72” long rectangular table can seat up to 6 adults An 84” to 96” long rectangular table can seat up to 8 adults