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
Ksenya-84 [330]
3 years ago
10

A 3 letter password from the letters a b c and d the password cannot have the same letter repeated in it how many such passwords

are possible
Mathematics
1 answer:
iren2701 [21]3 years ago
3 0

Answer:

24\ passwords

Step-by-step explanation:

Total\ available\ characters=4(a,b,c,d)\\\\ We\ want\ to\ choose\ 3\ of\ them.\\Here\ order\ matters\ (for\ example\ abc\ and\ acb\ are\ two\ different\ passwords) \\Hence\ we\ have\ to\ take\ permutation\ to\ count\ total\ possibilities.\\\\Total\ number\ of\ passwords=^4P_3\\\\Total\ number\ of\ passwords=\frac{4!}{(4-3)!}\\\\Total\ number\ of\ passwords=\frac{4!}{1!}\\\\Total\ number\ of\ passwords=24

You might be interested in
 An athlete runs an equal distance 2 days a week. The other 5 days of the​ week, he runs a total of 11 miles. Write an equation
katovenus [111]
Ok since the athlete an equal distance of 2 days a week and he runs a total of 11 miles in 5 days you will need to think back so before he had 11 miles done next weak he had a total of 19 miles so you will start at 11 then count up to 19.

Use a number line to show how many days it took for the athlete to get 19 miles.

Then once you do the number line count the lumps and that’s how many days it took for the athlete to get 19 miles.

Hope this helped.
3 0
3 years ago
One number is 1 more than 2 times another. Their product is 10. Find the numbers.
Taya2010 [7]
Whenever a problem says "one number" and "another number" we can substitute x and y. for this we have x=2y+1 and xy=1. since we know the value of x (2y+1) we can substitute it for the other equation to get (2y+1)y=10. simplify to get 2y^2+y=10. from here you can do a few methods to solve this, but the simplest in my opinion is by factoring. 

In order to factor it must be equal to 0, so we have 2y^2+y-10=0. We factor this and get y=5 (we also get y=-4 but it is an extraneous root). now we can plug that into either equation and find that x=2.

this means our two numbers are 5 and 2
3 0
3 years ago
The fastest a human has ever run is 27 miles per hour. how many miles per minute did the human run?
vfiekz [6]
5 hours hope it help you
3 0
3 years ago
Read 2 more answers
Which of the following describes the correct process for solving the equation 3x+6=21
DochEvi [55]

Answer: Subtract 6 from both sides. Then, one would get 3x=15. Divde by 3 on both sides. x=5.

Step-by-step explanation:


4 0
3 years ago
X-1/x-2+x+3/x-4=2/(x-2).(4-x)
Varvara68 [4.7K]

The given equation x-1/x-2+x+3/x-4=2/(x-2).(4-x) is correct. the answer is proved.

According to the statement

we have given that the equation and we have to prove that the given answer is a correct answer for those equivalent equation.

So, The given expression are:

\frac{x-1}{x-2} +\frac{x+3}{x-4} = \frac{2}{(x-2).(4-x)}

And we have to prove the answer.

So, For this

\frac{x-1}{x-2} +\frac{x+3}{x-4}

\frac{({x-1}) ({x-4}) +({x+3})({x-2})} {(x-2) (x-4)}

Then the equation become

\frac{x^{2} -4x -x +4 + x^{2} -2x + 3x -6 }{(x-2) (x-4)}

Now solve it then

2x^{2} - 4x -2 / (x-2) (x-4)

Now take 2 common from answer then equation become

\frac{x-1}{x-2} +\frac{x+3}{x-4} = \frac{2}{(x-2).(4-x)}

Hence proved.

So, The given equation x-1/x-2+x+3/x-4=2/(x-2).(4-x) is correct. the answer is proved.

Learn more about equations here

brainly.com/question/2972832

#SPJ1

3 0
1 year ago
Other questions:
  • Find the multiplicative order of 5 and 7 in z16
    13·1 answer
  • What is the perimeter of rectangle ABCD on the coordinate plane? coordinate grid
    14·2 answers
  • Given the binomials (x + 1), (x + 4), (x - 5), and (x - 2), which one is a factor of f(x) = 3x^3 - 12x^2 - 4x - 55?
    15·1 answer
  • Helpppppppppppppppppp
    9·1 answer
  • What is the percentage of sugar in the syrup made of 10 kg of water and 5 kg of sugar?
    7·1 answer
  • Please helppp
    11·2 answers
  • G(x) =x^4+x^3+4x^2+4x
    12·1 answer
  • Help giving brainly if correct show work to get full points ​
    15·1 answer
  • Simplify 10 to the square root
    9·2 answers
  • last week, 4/5 of the students in Mr. Zanker's class went on a field trip. 9/10 of the students in Mr. Haynes's went. What is th
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!