Solve 6 Letter Words: 3 Consonants & 3 Vowels from "Circumference

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Homework Help Overview

The problem involves determining the number of six-letter words that can be formed from the letters of the word "circumference," specifically requiring three consonants and three vowels. The context is rooted in combinatorial mathematics, particularly permutations and combinations.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the necessity of understanding permutations and combinations. Some express uncertainty about their approaches, while others question the constraints regarding the repetition of letters. There is mention of the need to select and arrange consonants and vowels from the available letters.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the problem and the constraints involved. Some have offered guidance on how to approach the selection and arrangement of letters, while others are seeking clarification on the limits imposed by the problem.

Contextual Notes

There is ambiguity regarding whether the selection of vowels and consonants should be limited by their frequency in the original word. This aspect is under discussion, affecting how participants approach the problem.

novince
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Homework Statement


"Q.Find the no: of six letter words each consisting of three consonants and three vowels that can be formed using the letters of the word 'circumference'."
If you have cracked it please tell me how you did it.

Homework Equations


you have to be familiar with permutation and combination to solve it.


The Attempt at a Solution

 
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i know nothing about probability so this is probably wrong.

<< post edited by berkeman to remove work done for the OP >>

also, if by luck my method is right there is one ambiguity. if your teacher doesn't want you to be limited by the number of times the vowel or consonant appears in the word. I assumed that he does want that limit.
 
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xcvxcvvc said:
i know nothing about probability so this is probably wrong.

<< post edited by berkeman to remove work done for the OP >>

also, if by luck my method is right there is one ambiguity. if your teacher doesn't want you to be limited by the number of times the vowel or consonant appears in the word. I assumed that he does want that limit.

Please don't do the OP's work for them.

novince -- you need to show us an attempt at a solution before we can offer tutorial help. How would you approach this problem?
 
berkeman said:
Please don't do the OP's work for them.

novince -- you need to show us an attempt at a solution before we can offer tutorial help. How would you approach this problem?

Sorry :X. Does that mean I got it right? That would make me feel good - at least for a moment :P.
 
xcvxcvvc said:
Sorry :X. Does that mean I got it right? That would make me feel good - at least for a moment :P.

LOL. I didn't look closely at it, but it looked way too good to leave posted. :smile:
 
xcvxcvvc said:
Sorry :X. Does that mean I got it right? That would make me feel good - at least for a moment :P.

BTW, feel free to give a couple hints to get the OP going. Just not all that stuff in the middle of your post... Thanks.
 
Well, you know you have 8 consonants and 5 vowels in the word 'circumference'. You then need to pick 3 of the consonants and 3 of the vowels and arrange them.
 

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