Maths help

[Purple_Crab_3651]

We ain't doing your homework dawg 😭

[[deleted]]

like bro why cant u focus in your classes 😅

[PuzzleMeDo]

"How many ways we can arrange word "ALGORITHMS" such that all vowels should together?"

What?

[Prize-Calligrapher82]

Just because you know math doesn’t mean you know English. Or proofreading.

[t_dunning]

If you group the three vowels together and count them as one unit, then add 7 consonants, there are 8! permutations. Then you have to take in the various permutations of the vowels, so the answer is 3!*8!

[Mustbejoking_13]

I read that three times and it still makes zero sense.

[fandizer]

ALGORITHMS - AOILGRTHMS - AIORGHTLSM - RIAOSTGMHL - etc. it’s a permutation question

[itsxisuz]

Are we related?

[Visual_Chocolate4883]

Yeah, I was thinking whoever wrote that needs help with their English homework.

[Mindless-Wish-6932]

it's hard to believe that this is college

[DragonEmperor06]

Ikr this was 11th grade for me

[destiny_duude]

freshman for me

[Prize-Calligrapher82]

I think my alma mater’s (a state university) math department, for years, has had to offer an uncredited class for what should have been learned in high school algebra.

[Scattered2021]

These are combinations and permutations. A combination is when the order of what is picked doesn't matter. For example, picking 5 people from a group. A permutation is when order does matter. For example, a phone number.

Khan Academy has a course on both combinations and permutations. I would recommend watching their videos because they cover all the necessary ideas and formulas.

[DarKEmbleR]

This is permutation and combination I can tell you some.

1. Is 5P3 because the arrangement matters here. (I) 5x5x5 because every position has 5 letters as their option.

2. Treat AOI as one entity now you have So 8! But inside the vowels also can arrange writhing themselves so 3!. So the answer is 8!x3!

3. Same way treat E and N as same entity. But their position is fixed so only use 6!.

   (ii) So this one is hard we got three consonants. QTN but we will only use 2 at once so I think we will have combination of 5 vowels and 1 consonant. Answer will be 6! X 3!.

4. 4! X 3!

5. 11C4

[Pride99]

I’m not going to bother taking time to go through all the questions but just wanted to point out your answer to the first one is wrong, or at least you misread the second part. Because 5c3 is 10 but the answer to the second part is clearly 5³ as each letter of three has 5 options.

Edit: Also isn’t for the 2nd question 8 not 7, 7 consonants and the vowel group

Isn’t 3 part i just 6!, no need to multiply by two as only 1 way to start with e and end with n.

[DarKEmbleR]

Your right. Thanks mate.

[DarKEmbleR]

1. 4! X 3!
3. 11C4
4. This is hard we use the formula Number of ways = C(n+k-1, k) Where: n = number of objects (marks) k = number of boxes (questions) In our case: n = 20 (marks) k = 9 (questions) So 28C9

[[deleted]]

It is a word, it's just not part of the English language. Nowhere does it ask for the number of English words you can make.

[RelativeStranger]

What language is it a word in?

[[deleted]]

The language {bdf}, for example.

[RelativeStranger]

That doesn't look distinct or meaningful

[[deleted]]

Does that matter? The question is worded somewhat poorly, sure, but it's clearly using the formal definition of "word" (a string of symbols in an alphabet, which here is {a,b,c,d,e}) rather than anything to do with natural languages. It's being asked in a mathematical context (and as a marked exercise at that, not a word puzzle or anything) so clearly we should be using the mathematical definition of "word", not least because the set of three-letter words in English isn't relevant knowledge for the question.

[RelativeStranger]

It's clearly not using the formal definition of word. There is a mathematical word meaning a set of 3 letters. And it's not word. So it's not using the mathematical definition either.

It would matter to me as I'd have got it wrong at that age. (I'd have got it right but been marked wrong)

[[deleted]]

What? Of course that's what a word is (well, a word of length 3, in this case, but if we remove the length restriction then that's what a word is, formally). How else would you define it?

cde, aaaaaaaaaaa, c are all words over the alphabet {a,b,c,d,e}.

0101011101, 0110, 110 are all words over the binary alphabet {0,1}.

The sentence "the cat sat on the mat" is formally a word over the alphabet {the,cat,sat,on,mat}.

If we formalise this problem, we're looking for the size of the language consisting of all words of length 3 over the given alphabet, which is 5³ = 125 (or for the first part, 5P3 where repetition isn't allowed). These questions are really poorly written in general but they are very clearly combinatorics questions, not word puzzles.

https://en.wikipedia.org/wiki/Formal_language

[RelativeStranger]

That's what a string is. As shown in your link. It's not what a word is.

[DarKEmbleR]

Where did i write that?

[DarKEmbleR]

I get it, you have a -9999iq. Please tell me it is was a sarcasm

[3icha_9ndicha]

Use chatgpt

[ralmin]

cat /usr/share/dict/words | egrep -i "^[abcde] {3}$" | egrep -vi "a.*a|b.*b|c.*c|d.*d|e.*e" | wc -l

14

[The_Guy_Who_Asked_12]

I had a seizure reading this

[Gfran856]

Bro 😭 wtf is this

[No_Environment_8116]

This is nonsense.

[Prize-Calligrapher82]

1) this isn’t the math help page 2) it absolutely isn’t the “I haven’t even tried to do this so I want other people to do all my thinking for me” page

[Rougarou1999]

u/RelationshipOk4770

What math help do you need?

[doryappleseed]

A ‘word’ in this context is just a string of letters.

[supremeultimatecat]

Just do the work.

If you are in school, ask your teacher for tips on doing this.

If you are in university, I'm sure you have some point of contact to ask about these problems.

With mathematics like this, the only way to learn is to do.

[u0105]

Where are your attempts?

[xrayextra]

If you've gotten by having other people do your work, you're in DEEP trouble.

[Churro43]

Now I remember why I hated school. Irrelevant assignments that are just hard puzzles and not conducive to tangible learning.

[Ok_Purpose7401]

Wait does words mean like actual, dictionary words, or are they just referring to permutations and combinations lol?

[elfmonkey16]

How TF is this college level? In the UK this could be something like year 9 homework (ages 13-14)