Suppose we want to choose 5 objects, without replacement, from 9 distinct objects. (a) How many ways can this be done, if the order of the choices is not taken into consideration? (b) How many ways can this be done, if the order of the choices is taken into consideration?

Answers

Answer 1

The number of ways if the order of the choices is not taken into consideration and taken into consideration will be 126 and 15,120, respectively.

What are permutation and combination?

A permutation is an act of correctly arranging things or pieces. Combinations are a method of taking stuff or pieces from an assortment of items or sets in which the order of the items is irrelevant.

Suppose we want to choose 5 objects, without replacement, from 9 distinct objects.

Then the number of ways that this can be done, if the order of the choices is not taken into consideration will be given as,

⁹C₅ = 9! / [(9 - 5)! x 5!]

⁹C₅ = (9 x 8 x 7 x 6 x 5!) / (4 x 3 x 2 x 1 x 5!)

⁹C₅ = 126

Then the number of ways this can be done, if the order of the choices is taken into consideration will be given as,

⁹P₅ = 9! / [(9 - 5)!

⁹P₅ = (9 x 8 x 7 x 6 x 5 x 4!) / 4!

⁹P₅ = 15,120

The number of ways if the order of the choices is not taken into consideration and taken into consideration will be 126 and 15,120, respectively.

More about the permutation and the combination link is given below.

https://brainly.com/question/11732255

#SPJ2


Related Questions

Need some help with this :(
(Don’t answer if you don’t know)15 points

Answers

i agree with the person on top!

find the median for 24 27 17 19 23 39 20 29 33 33​

Answers

Answer:

25.5

Step-by-step explanation:

Median calulater

please help on this question i give brainliest

Answers

Answer:

1. 9 bounds of carbon dioxide

2.  27 bounds of carbon dioxide

Step-by-step explanation:

So let's find a unit rate: 1 to 9

"Why is it 1:9?"

If I can find divide 72 pounds into 8 hours? What would I find? You would find the pounds for each other

Example: 72/8=9. So If 9 carbon dioxide per hour. I can do 3 hours is 27 pounds of carbon dioxide.

So to sum it up, 72/8=9 so 1:9 can be used to figure out any amount of pounds used in a certain number of hours. So If 3 hours, then 27 pounds.

Answer:

1. 9 pounds of carbon dioxide

2. 27 pounds of carbon dioxide

Step-by-step explanation:

Well, I just know it.

A person invested $370 in an account growing at a rate allowing the money to double every 11 years. How long, to the nearest tenth of a year would it take for the value of the account to reach $720

Answers

Answer:

10.6

Step-by-step explanation:

y=a(2)^t/d

Plug in

720=370(2)^t/11

Divide both sides by 370

1.945945946 = (2)^t/11

Log both

Log(1.945945946) / Log(2)

0.9604716359 = t/11

0.9604716359 x 11 = t

10.56518799 to the nearest tenth is 10.6 = t

It would take 10.6 years for the value of the account to reach $720.

What is an exponential function?

An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.

A person put $370 into an account that grew at a rate that allowed the money to double every 11 years.

As per the question, we can write an exponential function as:

[tex]y=a(2)^{t/d}[/tex]

Substitute the values of y = 720, a = 370 and d = 11 in the above equation:

[tex]720=370(2)^{t/11}[/tex]

Divide both sides by 370

[tex]1.945945946 = (2)^{t/11}[/tex]

Take logarithms on both sides of the equation,

log(1.945945946) / log(2)

0.9604716359 = t/11

0.9604716359 x 11 = t

t = 10.56518799

Rounded to the nearest tenth

t = 10.6

Thus, the required time would be 10.6 years.

Learn more about exponential function here:

brainly.com/question/11487261

#SPJ2

ill mark brainlist plss help

Answers

it is oxygen no doubt about it

3 people can build a shed in 8 hours how long would it take 5 people give your answer in minutes

Answers

Answer:

798 minutes

Step-by-step explanation:

HELP PLEASE How do you simplify this expression? (Pls list steps)
-12 ÷ 3 • (-8+(-4)^2 - 6) ÷ 2

Answers

The answer is 4

steps listed above

When Jack, Jill, and Bill each came down the hill carrying a 48-ounce
bucket full of water. By the time they reached the bottom, Jack's bucket
was only 3/4 full. How much water did Jack spill?
14 oz.
O 12 oz.
O 3/48 oz
16 oz.


Plz HELPPPP AGIAN

Answers

he spilled 12oz of water! such easy math

The angle measurements in the diagram are represented by the following expressions
Helpp

Answers

Answer:

5x-15 = 2x+21

x=12

Step-by-step explanation:

Vertical and Corresponding Angles can be used to prove so.

The entire graph of the function f is shown in the figure below.
Write the domain and range of f as intervals or unions of intervals.

Answers

you need to put a picture of the graph

What is the value of x in the following equation? 4(x-1) = 2(x +1)

Answers

Start by multiplying to get rid of parentheses. Then use addition/subtraction to isolate x on one side of the equation. Finally, use division to determine the value of x.

1 of
Find all possible outliers for the following set of data: 108, 31, 75, 87, 79, 88, 89, 118, 51, 89, 174, 95, 51, 70, and 73

Answers

Answer:

31 and 174

Step-by-step explanation:

378cm=3m 78cm=
802.6cm=6km 740m=

Answers

Answer:378

Step-by-step explanation:

Which of the following measures of variability can be used to compare two data sets? Select all that apply.
A.

Mean
B.

Interquartile range
C.

Median
D.

Mean Absolute Deviation (MAD)
E.

Range

Answers

Answer:

B.  Interquartile range

E. Range

Step-by-step explanation:

When the variability is to be used for comparing the two data sets so the measures that should be considered is range & interquartile range as it shows the difference also it compared the two different data sets

Therefore option B and E is correct

And, the rest of the options are wrong

Find three consecutive numbers whose sum shall equal 45.​

Answers

Answer:

the three consecutive numbers are 14, 15, 16

Answer:

Since the consecutive numbers, so the first one is x, the next one is x+1, and so on....I hope this will help

Step-by-step explanation:

x + (x + 1) + (x + 2) = 45

x + x + 1 + x + 2 = 45

3x + 3 = 45

3x = 42

x = 14

Now that we know x = 14, let's add one to it.

x + 1 = 14 + 1 = 15.

Now we have our middle number, which is 15. You can always check your answer by adding 14 + 15 + 16 = 45. Whoo!

I need help with this please​

Answers

Answer:

A' = (4, 4)

B' = (12, 4)

C' = (4, 10)

Step-by-step explanation:

Ok so you are given that the scale factor is 2. You will multiply 2 with the values given of point A, B, and C in order to find the value of point A', B', and C'.

A = (2, 2) ---> 2 × 2 = 4 and 2 × 2 = 4

A' = (4, 4)

B = (6, 2) ---> 6 × 2 = 12 and 2 × 2 = 4

B' = (12, 4)

C = (2, 5) ---> 2 × 2 = 4 and 5 × 2 = 10

C' = (4, 10)

Hope this helps and stay safe, happy, and healthy, thank you :) !!



PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.


Answers

Answer: C

Step-by-step explanation: The layers of rocks implies superposition and changes in species implies evolution

19. Frank and Jenny want to cut a plank for a sandbox they are making. If the plank is
12 inches long, and they want four pieces of equal size, how long will each piece measure?
A. 44 inches
44 in
B. 3 inches
C. 8 inches
0.3 inches

Answers

Answer:

it is 3 inches

3 x 4 = 12

14 out of 49 as a percentage

Answers

Answer:

28.57%

Step-by-step explanation:

The graph shows the solution to which systems of inequalities? y 6 LO 4 3 2 1 1 -3 -2 -1 0 -1 1 2 3 4 5 6 7 8 -2 -3​

Answers

Answer:

I don't get your question

Step-by-step explanation:

Gretta is 1 1/2 meters tall. Which of the following is equivalent to 1 1/2

1,000
1,500
100
150

Answers

Answer:

1000

Step-by-step explanation:


Please anyone see if I did this correct let me know the missing number for the bottom part. I upload it

Answers

Answer:

you got it!

Step-by-step explanation:

Answer:

You did do it correct!

For questions 21 and 22 is their a certain way you have to fill in the missing numbers?

I would do...

21. 2 and 5

22. 10 and 10

I am not sure though if there is a correct way to answer those two questions.

Step-by-step explanation:

What is the value of 7m – 3n when m = 3 and n = 2?

Answers

Answer:

It's 15.

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Plug in m = 3 & n = 2 into the equation.

7(3) - 3(2)

21 - 6

15

Hope this helps & have a great rest of your day!

Is 9 a solution of the equation 9x+8=7x?

Answers

Answer:

Download ka po ng PHOTO MATH app . with solution na yan:) lahat ng problema mo sa solving sagot agad

40 - 10 + 20

Don’t answer until when it’s one min later....there is a timer on my math probs so ya

Answers

Answer:

The answer is 50

Step-by-step explanation:

40-10=30

30+20=50

Select the correct comparison.
A. The typical value and the spread are both greater in set B.
B. The typical value is greater in set B. The spread is greater in set A.
C. The typical value and the spread are both greater in set A.
D. The typical value is greater in set A. The spread is greater in set B.

Answers

Answer:

The typical value is greater in set A. The spread is greater in set B.

Step-by-step explanation:

A P E X, hope it helps.

Answer:

it's B

Step-by-step explanation:

took the quiz

The area of the triangle below is 23.4 square inches. What is the length of the base?
6 in is the height

Answers

Answer:

543

Step-by-step explanation:

i am smart

3/4 -5/8 in simplest form plz

Answers

C bc it’s c my dad left me help jk
It’s 1/8 that’s what I got

A kite is shown below with given dimensions in inches. What is the area in square units

Answers

Answer:

320

80

Step-by-step explanation:

convert 2 1/2 cups to pints

Answers

Answer:

2 1/2 cups = 1.25 or 1 and 1 quarter liquid pint (U.S)

Step-by-step explanation:

Other Questions
Which country liberated the most major Nazi camps? Emily has 6 gallons of water josh has 23 quarts of water. How many more points does Emily have more than josh What is the passageway for air to get from the trachea to the lungs?TracheaDiaphragmBronchiolesBronchus Find the sum of the following series. Round to the nearest hundredth if necessary.8+24+72+...+12754584 I will give you Brainlyif you get the answer right!!!!). How is the prefix poly used in words like polygon and polyglot?A. To show that two things happen together.B. To show that something happens in reverse.C. To show that something happens again.O D. To show that there are many of something. Explain what other steps need to be taken to demonstrate that each of these factors is needed for photosynthesis. light A complex shape made of 2 rectangles. The top rectangle measures 4 centimeters by 4 centimeters. The bottom rectangle measures 6 centimeters by 10 centimeters.What is the area of the shape?40 square centimeters76 square centimeters100 square centimeters224 square centimeters How is humor utilized in the song, "You'll be back" and why do you think the writer intended this Which type of diabetic condition could be lessened by giving a patient sugar? Why is Newton's first law of motion is sometimes called the law of inertia A fruit fly has a recessive allele for no eyes (e). Two heterozygous fruit flies with eyes are crossed. What is the total number of different genotypes possible among their offspring?A. 1B.3C.4 Why did millions of African-Americans relocate during the Great Migration? How to tell your parents that you want to change religion?i want to be Christianbut my parents always disagree my opinioni trust Jesusi pray to Jesus and those prays is granted!!!I'm not lying he's granted my wishesyesterday i want storm, a rainy day, that happened after i pray to Jesuseven though Jesus came into my dreamsmy parents could say "that isn't Jesus, that's satan who came into your dream" just believe in Islamdude i like huh? i want freedom!!please help mei can't even be close to Jesus :'(even now i'm in Islam but i still believe in Jesus PLZ PLZ PLZ HELPPPP!! I MARK BRAINLIEST ! what it the gcf (greatest common factor) of 48 and 96? Find the area of the trapezoid.40 mm24 mm19 mmA=mm2 Simplify to using laws of exponents(-2)^2(-2)^5 describe your brother in a metaphor plzz help what kind of chemical reaction is this? whats The definition of fugitive