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
Yuki888 [10]
2 years ago
5

Six students are to be seated in a row of 6 chairs. if three of thses students must be seated together, how many ways could this

be accomplished?
Mathematics
2 answers:
levacccp [35]2 years ago
7 0
For an instance, A,B,C,D,E,F represent the students, and ABC must be seated together.
Use factorial of 4 (4!). Why 4? Because we have 4 different positions. ABC together, and D, E, F who can be seated separately.
4! = 4 × 3 × 2 × 1
4! = 24

After that, multiply the result of the factorial above by 6. Why 6? Because ABC could have different order: ABC, ACB, BAC, BCA, CAB, CBA, as long as they are together. Therefore,
number of ways = 24 × 6
number of ways = 144

There are 144 ways
liraira [26]2 years ago
4 0
Students : A B C D E F
3 of them (A, B, & C) must be seated together

options::
A B C  D E F ..... D E F  A B C ..... D  A B C  E F ..... D E  A B C  F
A B C  D F E ..... D F E  A B C ..... D  A B C  F E ..... D F  A B C  E
A B C  E F D ..... E F D  A B C ..... E  A B C  F D ..... E F  A B C  D
A B C  E D F ..... E D F  A B C ..... E  A B C  D F ..... E D  A B C  F
A B C  F E D ..... F E D  A B C ..... F  A B C  E D ..... F E  A B C  D
A B C  F D E ..... F D E  A B C ..... F  A B C  D E ..... F D  A B C  E

24 options

You might be interested in
Choose the correct description of the graph of the inequality x - 3 >= 5.
lions [1.4K]

The <em><u>correct answer</u></em> is:

D) Closed circle on 8, shading to the right.

Explanation:

First we must solve the inequality:

x - 3 ≥ 5

Add 3 to each side:

x - 3 + 3 ≥ 5 + 3

x ≥ 8

To graph this, we want a circle on 8 Since it is "greater than or equal to," 8 is included in the solution set. This means the circle will be closed.

Since it is "greater than," we want the numbers to the right of 8 on the number line.

This means the inequality will be a closed circle and shaded to the right.

8 0
3 years ago
Read 2 more answers
Which of the following equations could be used to find one of the numbers
shutvik [7]

Answer:

May you provide images?

Step-by-step explanation:

8 0
3 years ago
What is the mean median and mode of 99, 69, 96, 69, 78. Round to the nearest tenth if necessary
KiRa [710]
A median is the middle number of a data set.
To find it put the numbers in order.
78, 69, 69, 96, 99
Then find the middle number
78, 69, *69,* 96, 99

The median is 69

A mode is the number that appears the most in a set of numbers.
78, *69, 69,* 96, 99

The mode is 69

To find the mean or average of a set of numbers, add all the numbers together then divide by the number of numbers there are.
99+69+96+69+78 = 411
411/5 = 82.2

The mean is 82.2

Hope this helped! If you have anymore questions or don't understand, please comment on my profile or DM me. :)
6 0
3 years ago
Can somebody please help me !!
levacccp [35]

Answer:

I'm pretty sure it's both, but I can see this is a summative exam/test so I'm really sorry if it's wrong.

6 0
1 year ago
The base of a rectangular prism has an area of 24 square millimeters. The volume of the prism is 144 cubic millimeters. The shap
Sav [38]

Answer:

height = 6 mm

Step-by-step explanation:

The prism is a rectangular prism. The base area of the prism is 24 mm². The volume of the prism is given as 144 mm³.

The height of the prism can be solved as follows.

Volume of the rectangular prism = Bh

where

B = base area

h = height

Volume = 144 mm³

B = 24 mm²

volume = Bh

144 = 24 × h

144 = 24h

divide both sides by 24

h = 144/24

h = 6 mm

3 0
3 years ago
Other questions:
  • The ratio of the sides of two similar octagons is 2:5. What is the ratio of the perimeters of these octagons?
    8·1 answer
  • What is the 13th term in the arithmetic sequence described by this explicit formula an=84+(n-1)(-6)
    11·2 answers
  • In order to plan George’s birthday, his father gave him a list of people who attended his birthday for the last five years. What
    14·1 answer
  • The present ages of Vijay and gautam are in ratio 2:3. five years hence,their ages will be in the ratio 3:4. find their present
    15·1 answer
  • Need help with this math
    10·2 answers
  • 1st question I want to solve
    7·1 answer
  • Cassidy purchases a soccer ball that is regularly priced at $27.50. It is on sale for 30% off. What is the sale price of the soc
    9·1 answer
  • True/False: Perimeter is the number of squares you can fit inside of any shape?
    6·1 answer
  • PLEASE HELP WILL GIVE BRAINLIEST IF CORRECT
    9·2 answers
  • HELP ME PLEASE BRAINLIEST ANSWER
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!