Xuemeng D.

asked • 10/24/16

In how many ways we can arrange the word TEACHER such that no two vowels should be together.

I calculate the answer 720
But the correct answer is 576
Why?

1 Expert Answer

By:

KAREN S. answered • 10/24/16

Tutor
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My name is Karen and I'm a healthcare professional

Xuemeng D.

However, I get 10 different ways...
That is :
cvcvcvc
cvcvccv
cvccvcv
ccvcvcc
vcvcvcc
vccvcvc
vccvccv
vcccvcv
vcvccvc
vcvcccv
Report

10/24/16

KAREN S.

The only possible arrangements WITHOUT having two vowels next to each other should be:
 
VCVCVCC
 
CVCVCVC
 
CCVCVCV
 
VCCVCVC
 
VCCVCCV
 
VCVCCVC
 
VCVCCCV
 
VCCCVCV
 
 
Report

10/24/16

KAREN S.

Double check your different ways. Make sure there are only 3 vowels and 4 consonants for each.
Report

10/24/16

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