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
just olya [345]
3 years ago
9

Suppose that you can only use the set of small letters characters (a-z) and odd numbers (1, 3, 5, 7, 9) to set a password. What

is the total number of 8-character passwords that can be constructed from such a character set?
Mathematics
1 answer:
Flauer [41]3 years ago
6 0

Answer:

31^8

Step-by-step explanation:

To create a password, you need to select 8 characters (not necessarily different) from the set {1,3,5,7,9,a,b,c,...,z}. Now, this set has 31 elements: the 26 lowercase letters from the alphabet and the 5 odd numbers (1,3,5,7,9).

Now, there are 31 ways to choose the first character, it can be any element from our set. The second character can also be chosen in 31 ways, because there are not restrictions (repetitions, specific characters, etc). Similarly, the third, fourth, fifth, sixth, seventh and eighth characters have 31 possibilities each one.

The number of passwords is the number of ways of selecting the 8 characters, then by the multiplication principle the number of passwords is 31×31×31×31×31×31×31×31=31^8.

You might be interested in
What is the value of (4 minus 2) cubed minus 3 times 4? a.Negative 20 b.Negative 4 c.4 d. 20
brilliants [131]

Answer:

B. Negative 4

Step-by-step explanation:

3 0
3 years ago
PLEASE HELP! (04.02 MC) Write an equation of a line parallel to line EF in slope-intercept form that passes through the point (2
Tanya [424]

Answer:

  C.  y = -2/3x +22/3

Step-by-step explanation:

You can choose the correct answer by realizing that the line must have a y-intercept greater than 6. The given point is (2, 6) and the line goes up and to the left from there. The y-intercept is obviously more than 6.

The only reasonable answer choice is ...

  y = -2/3x +22/3 . . . . . a y-intercept of 7 1/3

_____

There are a lot of ways to work problems like these. One is to write the equation of the line, then match that to the answer choices.

Another is to eliminate all the "impossible" answer choices, then choose the appropriate one from what's left. (The given line has a negative slope, eliminating choices A and B.)

I like to use the simplest method that will determine the correct answer. Here, that involves reading and understanding the question to obtain some idea of where the desired line must appear on the graph.

Of course, it helps to know that "slope-intercept form" is ...

  y = mx +b . . . . . . m represents the slope; b is the y-intercept

5 0
3 years ago
The number of people that attended the first basketball game of the season was 840. The number of people attending the last bask
Pavlova-9 [17]

Answer:

1092 people

Step-by-step explanation:

840 people * (1+(30%/100%)) = 1092

4 0
2 years ago
URGENT<br>simplify (sinx+cosx)^2-(sinx-cosx)^2
koban [17]

Answer:

Solution given:

  • (sinx+cosx)^2-(sinx-cosx)^2
  • sin²x+2sinxcosx+cos²x-(sin²x-2sinxcosx+cos²)
  • 1+2sinxcosx-1+2sinxcosx
  • 2(2sinxcosx)
  • 2sin2x

Step-by-step explanation:

[note: sin²x+cos²x=1]

3 0
2 years ago
Read 2 more answers
A committee that consists of five members are to be chosen from 6 boys and 5 girls. Find the number of different committees that
Daniel [21]

Answer:

281 different committees can be formed if the number of boys is more than the number of girls​.

Step-by-step explanation:

The order in which the people are chosen to the committee is not important, which means that the combinations formula is used to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

Number of boys more than the number of girls:

3, 4 or 5 boys.

3 boys:

3 boys from a set of 6.

2 girls from a set of 5. So

C_{6,3}C_{5,2} = \frac{6!}{3!3!} \times \frac{5!}{2!3!} = 200

4 boys:

4 boys from a set of 6.

1 girl from a set of 5. So

C_{6,4}C_{5,1} = \frac{6!}{4!2!} \times \frac{5!}{1!4!} = 75

5 boys:

5 boys from a set of 6. So

C_{6,5} = \frac{6!}{5!1!} = 6

Total:

200 + 75 + 6 = 281

281 different committees can be formed if the number of boys is more than the number of girls​.

5 0
2 years ago
Other questions:
  • A plane is descending into the airport. After 5 minutes it is at a height of 6500 feet. After 7 minutes it is at a height of 590
    15·1 answer
  • What measure is equivalent to 65 killograms?
    15·1 answer
  • Can any of you help me with this
    5·1 answer
  • If you roll a die 100 times, what is the approximate probability that you will roll between 9 and 16 ones, inclusive? (Round you
    14·1 answer
  • Change from $20 after spending $13.76
    10·1 answer
  • <img src="https://tex.z-dn.net/?f=%284%20%2B%206i%29%20%7B%7D%5E%7B2%7D%20" id="TexFormula1" title="(4 + 6i) {}^{2} " alt="(4 +
    11·1 answer
  • Does anyone else have to do i-Ready
    9·2 answers
  • Write an equation that models this situation.
    9·1 answer
  • I’m 11 years old <br><br><br><br><br><br><br><br><br><br>Jk I’m not I could rlly use a hand tho
    9·2 answers
  • Whats the answer can u help me please
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!