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\(\large \color{black}{\begin{align} & \normalsize \text{Find the number of ways in which the letters of the word MACHINE }\hspace{.33em}\\~\\ & \normalsize \text{can be arranged so that the vowels may occupy only odd positions. }\hspace{.33em}\\~\\ & a.)\ 4!\times 4! \hspace{.33em}\\~\\ & b.)\ ^{7}P_{3}\times 4! \hspace{.33em}\\~\\ & c.)\ ^{7}P_{4}\times 3! \hspace{.33em}\\~\\ & d.)\ \text{none of these} \hspace{.33em}\\~\\ \end{align}}\)

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.4dw:1440622392209:dw

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.4How many positions are there for the vowels to go to ?

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.14 position for vowels

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.4how many vowels are there ?

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.1dw:1440622528962:dw

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.44 positions 3 vowels first vowel can go into any one of the 4 positions : 4 ways after that, second vowel can go into any one of the remaining 3 positions : 3 ways after that, the third vowel can go into any one of the remaining 2 positions : 2 ways so total ways of arranging 3 vowels into 4 positions is 4*3*2

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.4we're done with vowels, next look at rest of the word

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.1can u apply formula for that 4 positions 3 vowels

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.4sure, what formula ?

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.4yes it is the permutation formula : \(4P3\) i just elaborated for you

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.4what about the consonants

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.13 positions 4 cnsonants

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.4really ? we have just used 3 positions for vowels right

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.4after placing 3 vowels, we see 4 empty positions, yes ?

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.1dw:1440623136170:dw

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.4there are no restrictions on consonants they can go into odd positions that are not occupied by vowels too

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.4there are 3 even positions but there are 4 "empty" positions

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.4Yes 4 positions 4 consonants how many permutations ?

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.1is option a.) correct

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.4you can arrange vowels in 4*3*2 ways and for each of that arrangement, you can arrange consonants in 4! ways so total arrangements is ?
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.