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
kirill115 [55]
3 years ago
5

How many ways can 6 people be chosen and arranged in straight line if there are 8 people to choose from? a. 48.b. 720.c. 20, 160

.d. 40, 320.
Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
5 0

Answer:

<h2>C. <em>20,160</em></h2>

Step-by-step explanation:

This question bothers on permutation since we are to select a some people out of a group of people and then arrange in a straight line. If r object are to be arranged in a straight line when selecting them from n pool of objects. This can be done in nPr number of ways.

nPr = n!/(n-r)!

Selection of 6 people out of 8 people can therefore be done in 8C6 number of ways.

8P6 = 8!/(8-6)!

8P6 = 8!/2!

8P6 = 8*7*6*5*4*3*2!/2!

8P6 = 8*7*6*5*4*3

8P6 = 56*360

8P6 = 20,160

<em>Hence this can be done in 20,160 number of ways</em>

You might be interested in
The inverse of the function graphed below is a function.<br><br>A. True<br>B. False
Anuta_ua [19.1K]
False.  In order to have an inverse, your function must pass the horizontal line test.  The graph fails the test.
7 0
3 years ago
Read 2 more answers
BEST ANSWER GETS BRAINLIEST!!!!!!!!
Ad libitum [116K]

Answer:

(x + 6, y + 0), 180° rotation, reflection over the x‐axis

Step-by-step explanation:

The answer can be found out simply , a trapezoid has its horizontal sides usually parallel meanwhile the vertical sides are not parallel.

The horizontal parallel sides are on the x-axis.

Reflection over y- axis would leave the trapezoid in a vertical position such that the trapezoid ABCD won't be carried on the transformed trapezoid as shown in figure.

So option 1 and 2 are removed.

Now, a 90 degree rotation would leave the trapezoid in a vertical position again so its not suitable again.

In,The final option (x + 6, y + 0), 180° rotation, reflection over the x‐axis, x+6 would allow the parallel sides to increase in value hence the trapezoid would increase in size,

180 degree rotation would leave the trapezoid in an opposite position and reflection over x-axis would bring it below the Original trapezoid. Hence, transformed trapezoid A`B`C`D` would carry original trapezoid ABCD onto itself

8 0
3 years ago
Is the relation in this set of points a function
natita [175]
It is not a function—an element from the domain is paired with more than one element from the range. Specifically, the input value of 4 corresponds to two output values: 5 and -4.

A function can only take on one output for each input. It only takes one input value to associate with more than one output value to be invalid as a function.

Please mark this answer as the Brainliest, if you find this helpful :)
7 0
2 years ago
In the triangle below, with right angle , suppose that and .
bazaltina [42]

Answer:

G= 60.5

E= 70.9

F= 90

........

.......

4 0
2 years ago
Express 8 sin^2x - 10sinxcosx in the form a+b sin(2x+c).
ladessa [460]
8 sin2x - 10sinxcosx = 8*2sinXcosX-10sinXcosX = 16sinXcosX - 10sinXcosX = 6sinXcosX=3sin2x
7 0
3 years ago
Other questions:
  • John is considering accepting one of two sales positions. ABC Company offers a yearly salary of $45,000. XYZ Company offers a ye
    9·1 answer
  • a plumber charges a base fee of $55 for a service call plus $35 per hour for each hour worked during the service call the relati
    8·1 answer
  • Fourth-eight is what percent of 60
    13·2 answers
  • Evaluate a² + 2b when a = ⅘, and b = ⅖
    10·2 answers
  • Assignment
    9·1 answer
  • 5. The cost of movie tickets at the
    9·2 answers
  • Need HELP! <br><br>OA:point U<br><br>OB:point V<br><br>OC:point W<br><br>OD: point X​
    9·1 answer
  • PLEASE HELP ME ON MATH ASAP
    10·2 answers
  • Find the value of of 8 4/3
    15·2 answers
  • Answer is D for you who can’t read.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!