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
klasskru [66]
1 year ago
13

A password is 4 characters long and must consist of 3 letters and 1 of 10 special characters. If letters can be repeated and the

special character is at the end of the password, how many possibilities are there? a. 175,760 b. 456,976 c. 703,040 d. 1,679,616 Please select the best answer from the choices provided A B C D.
Mathematics
1 answer:
Ne4ueva [31]1 year ago
5 0

The number of possibilities for constructing the 4 characters long password with specified conditions is given by: Option C: 703,040

<h3>What is the rule of product in combinatorics?</h3>

If a work A can be done in p ways, and another work B can be done in q ways, then both A and B can be done in p \times q ways.

Remember that this count doesn't differentiate between order of doing A first or B first then doing other work after the first work.

Thus, doing A then B is considered same as doing B then A

We're specified that:

  • The password needs to be 4 characters long
  • It must have 3 letters and 1 of 10 special characters.
  • Repetition is allowed.

So, each of 3 characters get 26 ways of being 1 letter. (assuming no difference is there between upper case letter and lower case letter).

And that 1 remaining character get 10 ways of being a special character.

So, by product rule, this choice (without ordering) can be done in:

26 \times 26 \times 26 \times 10 = 175760 ways.

Now, the password may look like one of those:

  1. L, L, L, S
  2. L, L, S, L
  3. L, S, L, L
  4. S, L, L, L

where S shows presence of special character and L shows presence of letter.

Those 175760 ways are available for each of those four ways.

Thus, resultant number of ways this can be done is:

175760 \times 4 = 703040

Thus, the number of possibilities for constructing the 4 characters long password with specified conditions is given by: Option C: 703,040

Learn more about rule of product here:

brainly.com/question/2763785

You might be interested in
Please help I don’t understand
julia-pushkina [17]
The answer is 32.14
3 0
2 years ago
Who ever can answer these three questions first I will give them a brainliest! Or two
Lilit [14]

Answer:

mathemiatical porbs is is  it itroon poickg niucer g tnt g hayabusa sanjo          karaneteooo  break the code

Step-by-step explanation:

7 0
2 years ago
The total distance jim traveled on his bicycle during a 5 hour period is shown in the graph below.
spayn [35]

Answer:

100 miles

follow the line up from 5

3 0
2 years ago
Four more than a number is 27
son4ous [18]

Answer:

23 is the answer of the question

3 0
2 years ago
Read 2 more answers
What's six over seven to simplest form
bezimeni [28]
It is in simplest form.
3 0
3 years ago
Read 2 more answers
Other questions:
  • Yuko added a 15 percent tip when she paid her cab driver. If the fare was $25.50, what was the total amount she paid? A. $28 B.
    6·2 answers
  • 250,000 people visited a theme park in one year 15% of the people visited in april and 40% of the people visited in august how m
    8·1 answer
  • What is the solution for the system of linear equations?
    8·2 answers
  • 6.) You are standing 50 meters from a hot air balloon that is
    13·1 answer
  • Write an equation in slope intercept form for the line that satisfies each set of conditions. Has y intercept -2 , parallel to t
    6·1 answer
  • PLZZZZZZZZ HELP ME ON THIS PLZZZZZZ
    5·2 answers
  • This week, Nick's puppy weighs 6 kilograms. Last week, the puppy weighed 4.5 kilograms. How much mass, in grams, did the puppy g
    10·2 answers
  • NEED HELP ASAP!!!! GIVING BRAINLIEST+ 30 POINTS TO WHOEVER CAN ANSWER THESE TWO QUESTIONS THE BEST!!!
    11·1 answer
  • There are 24 hours in one day, and 3,600 seconds in one hour. How many seconds are in one day?
    12·1 answer
  • on the first day the apple iphone 5 was released, the local store had 200 in stock. by 8:00 pm, the store had sold 3/5 of their
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!