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
salantis [7]
2 years ago
14

A park bench can seat 4 people. How many seating arrangements are possible if 4 people out of a group of 14 want to sit on the p

ark bench
Mathematics
1 answer:
sdas [7]2 years ago
8 0

Answer:

Step-by-step explanation:

Permutation had to do with arrangement.

Arranging r people out of the pool of n people can be done in nPr number of ways

nPr = n!/(n-r)!

From the question, we want to know how many seating arrangements are possible if 4 people out of a group of 14 want to sit on the park bench, the can be done in 14P3 number of Ways

14P3 = 14!/(14-3)!

14P3 = 14!/11!

14P3 = 14×13×12×11!/11!

14P3 = 14×13×12

14P3 = 2184 ways

This means that they can be arranged in 2184 number of ways

You might be interested in
Do the ratios 4/5 and 12/20 form a proportion?
yKpoI14uk [10]

Answer:

No. They are not in proportion

Step-by-step explanation:

\sf \dfrac{4}{5} \ \text{is in the simplest form}

\sf \text{Simplest form of $\dfrac{12}{20}$} = \dfrac{12 \div 4}{20 \div 4}=\dfrac{3}{5}

So, they are not in proportion

7 0
2 years ago
If f(x)=-4x-5 and g(x)= 3-x, what is g(-4) +f(1)?<br><br> A.-10<br> B.7<br> C.-9<br> D.-2
Kisachek [45]

Answer:

-2

Step-by-step explanation:

sustitue -4 into x for 3-x which would equal 7 because a negative times a negative equals positive. Then substitue 1 in for x in -4x-5 which would get you -9

give brainliest pls

7 0
3 years ago
Charlie had a -$38.00 balance in his checking account. He deposited $126.00 into the account. What is his new balance?
Marina86 [1]

Answer:

$88

Step-by-step explanation:

-38+126=$88

3 0
3 years ago
Sofia can text 40 words in one minute
allsm [11]
Do 40 times 12 because if she can type 40 words each minute and there is 12 minutes then it would be 480
5 0
2 years ago
Read 2 more answers
Let f(x)=3x-6. Is f one-to-one? If it is find f^-1, if not explain why.
beks73 [17]

Answer:  Yes,  \bold{f^{-1}(x)=\dfrac{x+6}{3}}

<u>Step-by-step explanation:</u>

f(x) = 3x - 6    is a line so it is a function  because

                      it passes the vertical line test

                              and the horizontal line test

To find the inverse, swap the x's and y's and solve for y

y=3x-6\\\\\\\text{Swap the x's and y's:}\qquad x=3y-6\\\\\text{Add 6 to both sides:}\qquad x+6=3y\\\\\text{Divide both sides by 3:}\qquad \dfrac{x+6}{3}=y

8 0
3 years ago
Other questions:
  • A shirt originally cost $42.54, but it is on sale for $29.78. What is the percentage decrease of the price of the shirt? If nece
    8·1 answer
  • A thief steals an ATM card and must randomly guess the correct seven​-digit pin code from a 4​-key keypad. Repetition of digits
    15·1 answer
  • If an angle measures x° what is its complement
    6·1 answer
  • In a group of 60 students, 14 students take Algebra 1,20 students take Algebra
    12·2 answers
  • Consider the following graph
    15·1 answer
  • Compare 1⁄2 with 3⁄4 using ( &lt;, &gt;, =). A. 1⁄2 &lt; 3⁄4 B. 1⁄2 &gt; 3⁄4 C. 1⁄2 = 3⁄4 D. None of the abov
    15·1 answer
  • What do we put in the first boxes
    5·1 answer
  • Factor.<br> 28 - 4u<br> I don’t know how to factor 28-4u so if anyone can help thank you
    14·1 answer
  • What is the value of g (1) for the function g(x) = 2x + 5?<br><br> Asap
    11·1 answer
  • Which of the following points is located in the third quadrant of the coordinate plane?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!