A community for students.
Here's the question you clicked on:
 0 viewing
mathmath333
 one year ago
counting question
mathmath333
 one year ago
counting question

This Question is Closed

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.1\(\large \color{black}{\begin{align} & \normalsize \text{In how many ways can the letters of the word PERMUTATIONS be arranged if the}\hspace{.33em}\\~\\ & \normalsize \text{ (i) vowels are all together }\hspace{.33em}\\~\\ & \normalsize \text{ (ii) there are always 4 letters between P and S.}\hspace{.33em}\\~\\ \end{align}}\)

rational
 one year ago
Best ResponseYou've already chosen the best response.5How many vowels are there ?

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.1all vowels are there

rational
 one year ago
Best ResponseYou've already chosen the best response.5put them in a bag and call it \(\phi\)

rational
 one year ago
Best ResponseYou've already chosen the best response.5how many ways can arrange the objects \(\{\phi, ~P, ~R, ~M,~T,~T,~N,~S\}\) ?

rational
 one year ago
Best ResponseYou've already chosen the best response.5Yes, next unpack the bag, how many ways can you arrange 5 vowels ?

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.1can vowels be repeated

rational
 one year ago
Best ResponseYou've already chosen the best response.5what letters do you have in the bag ?

rational
 one year ago
Best ResponseYou've already chosen the best response.5they all are distinct, how many ways can you arrange them ?

rational
 one year ago
Best ResponseYou've already chosen the best response.5Yes, so the final answer is ?

ikram002p
 one year ago
Best ResponseYou've already chosen the best response.1separated than the first condition ?

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.1P and S are at distance of 4 places always

rational
 one year ago
Best ResponseYou've already chosen the best response.5First find the number of ways of placing \(P, S\) : dw:1439069671413:dw

rational
 one year ago
Best ResponseYou've already chosen the best response.5dw:1439070002368:dw

rational
 one year ago
Best ResponseYou've already chosen the best response.5If one letter of {P, S} is at index 1, where can the other letter be ?

rational
 one year ago
Best ResponseYou've already chosen the best response.5Yes, {P, S} can be mapped to {1, 6}

rational
 one year ago
Best ResponseYou've already chosen the best response.5By sliding to right, you can see that {P, S} can take on locations : {1, 6} {2, 7} {3, 8} {4, 9} {5, 10} {6, 11} {7, 12} how many are they ?

rational
 one year ago
Best ResponseYou've already chosen the best response.5and you can swap the locations, so there are 7*2 = 14 different ways to arrange {P, S}

rational
 one year ago
Best ResponseYou've already chosen the best response.5Next, arrange remaining 10 letters

rational
 one year ago
Best ResponseYou've already chosen the best response.5Yes, so total num of permutations = 14(10!/2)

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.1if the restriction of 4 places is not there then their are 10!/2 ways and the restrictions are their then there are 14*10!/2 ways but as the restrictions are more the the number of ways should decrease .

rational
 one year ago
Best ResponseYou've already chosen the best response.5if the restriction is not there, then there are 12!/2 different permutations not 10!/2

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.1ohk i see the difference :D

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.1hmm this little silly doubts make my brain spin

rational
 one year ago
Best ResponseYou've already chosen the best response.5its natural, my brain spins too :)

rational
 one year ago
Best ResponseYou've already chosen the best response.5listing the possibilities and looking at the problem from alternative ways usually helps...

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.1but in the way of learning its essential to get rid of the small doubts

rational
 one year ago
Best ResponseYou've already chosen the best response.5haha! its good to ask questions there is an old saying : "there are no stupid questions, only stupid answers" remember that when asking a question which you feel is small/silly ;p

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.1remembering school days where teachers used to run after students after student asked questions
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.