MHB How can I create a strong password to protect my online accounts?

  • Thread starter Thread starter Asawira Emaan
  • Start date Start date
AI Thread Summary
To create a strong password for online accounts, it is essential to use a combination of uppercase and lowercase letters, numbers, and special characters. Passwords should be at least 12 characters long to enhance security. Avoid using easily guessable information such as birthdays or common words. Regularly updating passwords and using unique passwords for different accounts can further protect against breaches. Implementing a password manager can help in generating and storing complex passwords securely.
Asawira Emaan
Messages
12
Reaction score
0
Asalamoalikum,

Kindly can someone solve these with explanation?

1. In how many ways can four French books, two English books and three German books be arranged on a shelf so that all books in same language are together.

2. How many different arrangements can be formed of the word "equation" if all the vowels are to be kept together?

3. A combination lock has five wheels, each labeled with the ten digits from 0 to 9. How many five number opening combinations are possible,
(i) assuming no digit is repeated.
(ii)assuming digits can be repeated.

Thank you.
 
Mathematics news on Phys.org
Asawira Emaan said:
Asalamoalikum,

Kindly can someone solve these with explanation?
You won't learn anything by people doing your homework for you! Here are some hints:

1. In how many ways can four French books, two English books and three German books be arranged on a shelf so that all books in same language are together.
First, treat the books of each language, which must be kept together, as one object. In how many ways can you arrange 3 objects? Now, in how many ways can you arrange just the 4 French books? The two English books? The three German books? By the "fundamental counting principle", multiply those.

2. How many different arrangements can be formed of the word "equation" if all the vowels are to be kept together?
Treat the vowels, e, u a, i, and o, that are to be kept together, as a single letter. there are also 3 consonants so, treating the vowels as a single letter, there are 4 objects. In how many ways can you arrange 4 objects. In how many ways can you arrange the 5 vowels?

3. A combination lock has five wheels, each labeled with the ten digits from 0 to 9. How many five number opening combinations are possible,
(i) assuming no digit is repeated.
There are 10 choices for the first digit, then 9 for the second, etc.

(ii)assuming digits can be repeated.
Then there are 10 choices for every digit.

Thank you.
 
Country Boy said:
You won't learn anything by people doing your homework for you! Here are some hints:First, treat the books of each language, which must be kept together, as one object. In how many ways can you arrange 3 objects? Now, in how many ways can you arrange just the 4 French books? The two English books? The three German books? By the "fundamental counting principle", multiply those. Treat the vowels, e, u a, i, and o, that are to be kept together, as a single letter. there are also 3 consonants so, treating the vowels as a single letter, there are 4 objects. In how many ways can you arrange 4 objects. In how many ways can you arrange the 5 vowels?There are 10 choices for the first digit, then 9 for the second, etc.Then there are 10 choices for every digit.
Thanks by the time I got this answer I had already done the homework.
 
Good! That's the way it should be!
 
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
Suppose ,instead of the usual x,y coordinate system with an I basis vector along the x -axis and a corresponding j basis vector along the y-axis we instead have a different pair of basis vectors ,call them e and f along their respective axes. I have seen that this is an important subject in maths My question is what physical applications does such a model apply to? I am asking here because I have devoted quite a lot of time in the past to understanding convectors and the dual...
Thread 'Imaginary Pythagoras'
I posted this in the Lame Math thread, but it's got me thinking. Is there any validity to this? Or is it really just a mathematical trick? Naively, I see that i2 + plus 12 does equal zero2. But does this have a meaning? I know one can treat the imaginary number line as just another axis like the reals, but does that mean this does represent a triangle in the complex plane with a hypotenuse of length zero? Ibix offered a rendering of the diagram using what I assume is matrix* notation...
Back
Top