1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Korolek [52]
1 year ago
10

seven people arrive to dinner, but the circular table only seats six. if two seatings such that one is a rotation of the other a

re considered the same, then in how many different ways can we choose six people and seat them at the table?
Mathematics
1 answer:
Alenkinab [10]1 year ago
5 0

6 different people chosen from 7 can sit around the circular table in 840 ways.

Given that there are 7 people who have arrived for dinner.

But the circular table only seats 6.

Hence 1 person can be left out.

This can be done in 7 ways, which is a simple case of permutation.

A permutation is a combination of objects arranged in a particular sequence. The elements of sets are arranged in this case in a linear or sequential sequence.

Now 6 people will have to sit on the circular table.

Now from the properties of combination we know that , if n people sit around a circular table, then they can sit in n! ways.

Therefore 6 people can sit around a circular table in 6! ways.

6! = 120

Therefore total number of ways = 120 × 7 = 840

Hence 6 different people chosen from 7 can sit around the circular table in 840 ways.

To learn more about table visit:

brainly.com/question/16885576

#SPJ4

You might be interested in
Zander wants to find out what the most popular sporting event is in the district’s high schools. He surveys a sample of the popu
Leokris [45]

Answer:

Surveying a sample would be valid if the population contains a diverse group of people.

7 0
3 years ago
Read 2 more answers
CAN SOMEONE HELP ME TO DO THIS PLEASE PLEASE PLEASE :(​
lbvjy [14]

Answer:

hfhfhfhfhfnjskskskkskskkdjdjjdjdjjdhebhdh

7 0
3 years ago
Plz explain and I'll give brainly!!!
miss Akunina [59]

Answer:

(2,21)

Step-by-step explanation:

y = 10.5x

plug 2 for x  in the equation

y = 10.5(2)

then multiply 2 by 10.5

y=21

7 0
3 years ago
Simplify. t^-6 * t^2
Deffense [45]
<span>t^-6 * t^2
= t^-4

hope it helps</span>
8 0
3 years ago
At a dog shelter, a 26-pound bag of dog food will feed 40 dogs. How many dogs would you expect to feed with a 13-pound bag of do
Inessa [10]
The 13 pound bag is 1/2 of the 26 pound bag so if 40 dogs eat that then 20 dogs will eat 13 pounds. 
 Your answer should be 20 dogs 
4 0
3 years ago
Other questions:
  • Drag and drop the number to match the division problem to its quotient.
    11·2 answers
  • The coordinates of the endpoints of CD
    13·1 answer
  • Find the percent change from the first value to the second.<br><br> 50;36
    6·1 answer
  • Whats domain in math
    5·2 answers
  • Find the 9th term of the geometric sequence <br> 8 , 32 , 128
    5·1 answer
  • A) what slope does this line have?
    5·1 answer
  • The selling price of a skateboard is 147 $. The store has 75% markup policy. What uis the selling price of the skateboard
    5·1 answer
  • Let AB be the directed line segment beginning at point A(5 , 5) and ending at point B(19 , 16). Find the point P on the line seg
    13·1 answer
  • What is the value of X?
    8·1 answer
  • Translate the shape A three squares right and one square up.
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!