You are asked to make a list of possible 5-character passwords using the first 7 letters of the alphabet. How many distinct passwords can you make? Indicate whether this is a combination or permutation.

Answers

Answer 1

Using the permutation formula, as the order is important, it is found that 2520 distinct passwords can be made.

The order is important as abcde is a different password than edcba, hence the permutation formula is used.

What is the permutation formula?

The number of possible permutations of x elements from a set of n elements is given by:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

In this problem, 5 letters are chosen from a set of 7, hence:

[tex]P_{7,5} = \frac{7!}{(7-5)!} = 2520[/tex]

2520 distinct passwords can be made.

More can be learned about the permutation formula at https://brainly.com/question/25925367


Related Questions

What decimal place does the digit "2" occupy in the number 432,079?
hurry pleaseee i need help

Answers

Answer: Thousand

The 4 is in the hundred thousand

The 3 is in the ten thousand

The 2 is in the thousand

The 0 is in the hundred

The 7 is in the tens

The 9 is in the ones

As an estimation we are told £3 is €4.
Convert €44.80 to pounds.
Give your answer rounded to 2 DP.

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Answer:

x= 59.73

HOPE IT HELPSSSS

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Answers

Answer:

6

Step-by-step explanation:    i just looked it up

Answer:

6gallons

Step-by-step explanation:

there are 48 pints in 6 gallons

Please give brainliest!!!! Thank you

Vocabulary Use a vocabulary word to complete the sentence.
An__________ fraction names the
same region, part of a set, or part of a segment.

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The answer is equivalent fraction.

help please . number 2 .

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Answer:

D

Step-by-step explanation:

10x² - 25x + 15 = 0

Divide by 5 both sides,

2x² - 5x + 3 = 0

(x - 1) (2x - 3) = 0

Factors: x - 1 and 2x - 3

Answer: D

May you guys please help me on this one

Answers

Answer:

y maximum is at 1 for both the points (4,1) and (-4,1)

Step-by-step explanation:

Find the area of the circle.

Circle: r = 8.2 cm

Answers

Answer:

211.33cm²

Step-by-step explanation:

22/7×8.2²

=211.3257143

=211.33 to 3 d.p

The first user who answer is correct :)

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Answers

Answer:

c

Step-by-step explanation:

-3-- or just + -3 * -1 since xy are not separated by anything so its multiplication

There are 150 people ina golf club.a) there are 50%more men than women in the golf club. How many mena nd how many women are ther in the golf club.

Answers

The percentage computed shows that the number of women is 60 while men are 90.

How to calculate percentage?

Let the number of women be represented by x.

Since there are are 50% more men than women in the golf club, the number of men will be:

= x + (50% × c)

= x + 0.5x

= 1.5x

Therefore, 1.5x + x = 150

2.5x = 150

x = 150/2.5

x = 60

Number of women = 60

Number of men = 1.5x = 1.5 × 60 = 90

Learn more about percentages on:

https://brainly.com/question/24304697

4) height = 18 in; radius = 12 in
=
=
Volume=

Answers

Answer:

the answer is 13yd

Step-by-step explanation:

you have to devide and have to mutlpy

ASAPPP HELP
PLEASE!!!!!!

Answers

Answer:

-36/7

Step-by-step explanation:

-4/7 x 9

-4 x 9/ 7

That’s how I got -36/7

let n (AUB)=32n(B)=16and n(ANB)9 find n (A)​

Answers

Answer:

32

Step-by-step explanation:

n(A∪B)=n(A)+n(B)−n(A∩B)−−−−−−−(1)

Given n(A)= ? we represent with x

n(B)= 16

n(A∪B) = 32

Substituting in equation 1 to get n(A)

32  = n(A) + 9 − 9

⇒n(A) = 32 − 0

n(A)  = 32

to confirm this we put the values into the formula below

n(A∪B)=n(A)+n(B)−n(A∩B)−−−−−−−(1)

32 =  32 + 9 - 9

Answer:

  n(A) = 25

Step-by-step explanation:

The relation between cardinality of two sets and that of their union and intersection is ...

  n(A∪B) = n(A) +n(B) -n(A∩B)

  32 = n(A) +16 -9 . . . . . use the given information

  25 = n(A) . . . . . . . . . subtract 7

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A security camera in a neighborhood bank is mounted on a wall 9 feet above the floor. What angle of depression should be used if the camera is to be directed to a spot 6 feet above the floor and 12 feet from the wall? ​

Answers

Answer: Approximately 14.03624 degrees

======================================================

Explanation:

One way to draw out the diagram is shown below.

Focus on the right triangle.

tan(angle) = opposite/adjacent

tan(x) = 3/12

tan(x) = 0.25

x = arctan(0.25)

x = 14.03624

Side note: arctangent is the same as inverse tangent denoted as [tex]\tan^{-1}[/tex]

HELPPPP MEEE PLEASE QUICK 15 points

Answers

Answer:

hope this help uhh.. Have a good day.

someone help me solve it step by step please​

Answers

Given the following equation, I’m guessing you want to have it in y= format so that’s what I’ll do.
4x + 6y -y^2 +5 -2x^2= 0
Now isolate y to one side
-2x^2 + 4x + 5 = y^2 -6y
Now unfortunately this is as much as you can really simplify. Am I supposed to be solving for something else?

1. How many high fives will alan get in 30 seconds?
2. The maximum function is ......
The minimum function is .......
The amplitude of the function is .......
The Midline of the function is .......
The Period of the function is ......
3. Using the information given write a Trigonometric function for the situation below (Where x is time and f(x) represents the distance between Jose and Alan)
4. What makes trigonometric functions useful? (don't mention triangles) 5. Why are trigonometric functions periodic?​

Answers

I guess 24 in 30sec on completing one round each

Answer:

1) [tex]Six[/tex]

Step-by-step explanation:

1)     [tex]30\ seconds\div5\ seconds=6\ seconds[/tex]          [tex]\left\{every\ 5\ seconds\ one\ time\right\}[/tex]

I am going to work on the other several tonight/tomorrow and will post when I get them done.

make a number line and mark the points that represent the following values of x. x<1/3 and x>0?


PLEASE HELP

Answers

We can write the two given inequalities as:

0 < x < 1/3

And the graph of it can be seen below.

How to graph the inequalities?

Here we want to graph the inequalities:

x < 1/3

x > 0.

To do it, we can rewrite the inequality as:

0 < x < 1/3.

To graph this, we need to work with a number line. First, we will mark both of the ends of the inequality, that is x = 0 and x = 1/3, both will be graphed with open circles, which means that these points are not solutions. Then, we need to shade the region between these points.

The graph can be seen below.

If you want to learn more about inequalities, you can read:

https://brainly.com/question/18881247

2.
Write an expression to show...
Six times the quotient of thirty-two and
eight, increased by seven

Answers

Answer:

[tex]6*\frac{32}{8}+7[/tex]

Step-by-step explanation:

The required expression, six times the quotient of thirty-two and

eight, increased by seven, is given as x = 6(32/8) + 7.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Let the expression equal to x,
According to the question,
Six times the quotient of thirty-two = 6(32 /8)
Increased by seven = 6(32 /8) + 7
X = 6(32 /8) + 7

Thus, the required expression, six times the quotient of thirty-two and

eight, increased by seven, is given as x = 6(32/8) + 7.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ2

Rewrite in simplest terms: -8(-2a+4a-8)-7a

Answers

Answer:

-23a + 64

Step-by-step explanation:

-8(-2a + 4a - 8) - 7a

First combine like terms

-8(2a - 8) - 7a

Then distribute

-16a + 64 -7a

Combine like terms

-23a + 64

These tables represent a quadratic function with a vertex at (0, 3). What is the average rate of change for the interval from x = 8 to x = 9?

Answers

Answer:

-17

Step-by-step explanation:

I think hopes help

(32 divided by 4)+(3x4)

Answers

Answer:

20

Step-by-step explanation:

the answer is 20

Pls mark me as the Brainliest!!!
Have a good day :)

help me worth 40 points thank u

Answers

Answer: Choice A

[tex]54 \pi \text{ cm}^3[/tex]

=========================================================

Work Shown:

[tex]V = \pi*r^2*h\\\\V = \pi*3^2*6\\\\V = \pi*9*6\\\\V = \pi*54\\\\V = 54\pi\\\\[/tex]

This is the exact volume in terms of pi.

To find an approximation, replace pi with something like 3.14 and simplify.

The units for the volume are in cubic centimeters, which can be abbreviated to "cubic cm" or to [tex]\text{cm}^3[/tex]

Urgent! Need HELP pls don't scam me and answer all questions

Answers

Answer:

450 in²119 ft³

surface area of rectangular prism :

2 ( length * width + length * height + width * height )

2 ( 15 * 10 + 15 * 3 + 10 * 3 )

2 ( 225 )

450 in²

volume of triangular prism :

( base * height * length ) ÷ 2

( 7 * 4 * 8.5 ) ÷ 2

119 ft³

HELP ME!!!! PLEASE (I have Points)

Answers

Answer:

yes pick .98 l

Step-by-step explanation: .

Please help ! This homework is due tn :( Please answer number 3. If u know any other answers to any of the other questions let me know !

Answers

Rodney ordered their cards correctly

If you convert all of the values to decimals, you get

0.0345, 0.029, and -0.05, and you can see that they are in order from greatest to least

help me ASAP...

no links

Answers

Answer:

2 , 3 , 1 , 4

Step-by-step explanation:

Best way to convert fractions to decimals without a calculator is to look at denominator.

divide 100 by the denominator.

take your answer and multiply the numerator by that number.

put a decimal in front of answer

example : [tex]\frac{7}{20}[/tex]

100 divided by 20 is 5

5 times 7 is 35

place a decimal in front of answer

.35

A store has socks with different heights, patterns, and colors. The socks can be tall or short,have dots or he plain,and can be black,gray,or white. What is the probability that a random customer buys plain gray socks?

Answers

Answer:

30$ I think but I can wrong also

help meeeeee help meeeee please

Answers

Answer:

Step-by-step explanation:

3) Final step of problem 1: -5x + 6

-5x + 6 = -5*(-2) + 6

           = 10 + 6 = 16

4) x + -4 + -2(3x -5 ) = 8 + -4 + -2(3*8 -5)

                                = 4+ -2(24 -5)

                                = 4 + -2*19

                                 = 4 - 38

                                  = -34

help me please, im stuck on this question

Answers

Answer:

4.95/1.1 = 4.5 approximately 5 bags

Why f([tex]\pi[/tex]) = 0 and f '([tex]\pi[/tex]) = 3

When [tex]\lim_{x \to \\\pi } \frac{f(x)}{x-\pi} = 3[/tex]

Answers

Answer:

  application of L'Hopital's rule to the presumed indeterminate form yields this conclusion

Step-by-step explanation:

This is a reverse application of L'Hopital's rule for determining the limits involving indeterminate forms.

When the expression evaluated at the limit is 0/0, then L'Hopital's rule tells you the limit can be found from n'/d', where n and d are the numerator and denominator of the original expression, respectively.

We can see that x-π = 0 at x=π, so we assume that f(π) = 0 as well, and the expression n/d = f(x)/(x-π) evaluates to the indeterminate form 0/0.

The derivatives are ...

  n' = f'(x)

  d' = 1

Then we have the limit as ...

  lim{x→π) = n'/d' = f'(π)/1 = 3   ⇒   f'(π) = 3

The conclusion f(π)=0 and f'(π)=3 follows from L'Hopital's Rule.

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