Six letter words with three consonants and three vowels from circumference

[novince]

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

 

[xcvxcvvc]

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.

 

[berkeman]

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?

 

[xcvxcvvc]

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.

 

[berkeman]

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.

 

[berkeman]

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.

 

[Chaos2009]

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.