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
olga_2 [115]
2 years ago
14

The ten students in a club are lined up in a row for a group photograph. How many different arrangements are possible if the clu

b includes one set of identical triplets wearing matching clothes?
Mathematics
2 answers:
kondor19780726 [428]2 years ago
8 0

We know that

if the club includes one set of identical triplets wearing matching clothes

then

the number of different arrangements that are possible is

10! / 3! = (10*9*8*7*6*5*4*3!)/3!

=604,800

The answer is

<span>604,800</span>

statuscvo [17]2 years ago
5 0

Answer:

604,800 different arrangements.

Step-by-step explanation:

The number of ways 10 objects can be arranged normally is 10!

It if there were 3 identical objects that all look similar, a number of the arrangements obtained for 10 objects will end up being similar, we account for this condition by dividing the total number of arrangements by the number of ways those 3 identical objects can be arranged on their own; 3!

So, for this question, the number of arrangements of 10 students possible if it includes one set of identical triplets wearing matching clothes will be

(10!/3!) = 604,800 different arrangements.

Hope this Helps!!!

You might be interested in
This is a map of three towns. It shows the train line and the highway that connects the towns. The north direction is shown. The
vlada-n [284]

Answer:

  about 106 km

Step-by-step explanation:

The distance between the two towns can be estimated several ways. In the attachment, we chose to measure the angles on the map. Using the law of sines, we can estimate the unknown distance.

The distance can also be estimated using the Tounouse-Avaria distance as a ruler. For best results, that ruler would need to be subdivided to an appropriate level.

__

<h3>angle measures</h3>

The angles in the triangle can be measured using a protractor or some other tool. The attachment shows the results from a geometry program:

  • ∠TMA ≈ 107°
  • ∠TAM ≈ 24°
<h3>law of sines</h3>

The law of sines tells us the distances are proportional to the sines of the opposite angles:

  TM/sin(TAM) = TA/sin(TMA)

  TM = sin(24°)×(250 km)/sin(107°) ≈ 106.3 km

The distance from Tounouse to Mt. Monotti is estimated to be about 106 km.

__

<em>Alternate solution</em>

Using a compass or dividers to project the TM distance onto TA, we find it is between 0.4 and 0.5 of the TA distance. The difference between 2×TM and TA can be estimated to be about 0.4×TM. That is, ...

  TM ≈ TA/2.4 ≈ (250 km)/2.4 ≈ 104.2 km

This estimate is consistent with the one found using angle measures.

4 0
1 year ago
What is the answer in fraction form to 1/2 + 2/3
gtnhenbr [62]

Answer:1.17

Step-by-step explanation:

8 0
2 years ago
Darrin lives in Washington, D.C., which has a sales tax of 6%. He just bought a video camera whose full price was $620, but afte
marshall27 [118]
562.20 So the answer is A.
7 0
3 years ago
Read 2 more answers
Find the slope and the y-intercept of the equation below:
AveGali [126]

Answer:

  1. m = 4/3; b = -4
  2. m = 3; b = -6

Step-by-step explanation:

In each case, <em>solve for y</em>. You do this by getting the y-term by itself, then dividing by the coefficient of y.

<h3>1.</h3>

  -3y = -4x +12 . . . . . subtract 4x

  y = 4/3x -4 . . . . . . . divide by -3

The slope is 4/3; the y-intercept is -4.

__

<h3>2.</h3>

  y = 3x -6 . . . . . . divide by 2

The slope is 3; the y-intercept is -6.

_____

<em>Additional comment</em>

Whatever you do to one side of the equation, you must also do to the other side. When we say "subtract 4x", that means 4x is subtracted from both sides of the equation. The reason for doing that in the first equation is to eliminate the 4x term from the left side.

(Sometimes, you may see operations described as "move ...". There is no property of equality called "move." There are <em>addition</em>, <em>subtraction</em>, <em>multiplication</em>, <em>division</em>, and <em>substitution</em> properties of equality. Any equation solving process will make use of one or more of these.)

8 0
2 years ago
solve this system of linear equations, separate the x- and y-values with a comma. -13x=-96-7y -3x=64+7y
GaryK [48]

Answer:

(2,-10)

Step-by-step explanation:

I used a graphing tool to graph the system of equations. The the two lines intercept at the point (2,-10). So, (2,-10) is the solution.

6 0
3 years ago
Other questions:
  • One million people have equal chances of being called by telephone from a broadcasting show. Determine the probability of one pa
    8·1 answer
  • Lin and Jen each thought of a number. Lin thought of a 2-digit number. Jen’s number is 7 times as big as Lin’s. But, if Lin writ
    5·2 answers
  • The graph of which of the following will be parallel to the graph of 4x – 3y = –12? A.y= 4/3x -3/2 B.6x-4y=-8 C. y=3/4x+1 D.4x-
    6·2 answers
  • A polling organization contacts 2077 adult women who are 30 to 70 years of age and live in the United States and asks whether or
    12·1 answer
  • Write the name of a shape that when reflected in the x-axis , will remain identical
    12·2 answers
  • Solve the equation. q - 2.17 = 6<br> 10 points
    11·2 answers
  • What is the result of 8 divided by 3/8
    8·2 answers
  • 6 more than three times a number
    5·2 answers
  • А Campus athletics is interested in the proportion of registered students living on campus who play basketball recreationally du
    8·1 answer
  • Suppose that a duck swam 22.5 kilometers in 5 hours at a constant speed how far did the duck travel
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!