Search
Ask a question
0

How many ways can the letters of the word JACARANDA be arranged in a circle if the A's must be together

The answer is 30 if that helps

1 Answer by Expert Tutors

Tutors, sign in to answer this question.
Kris V. | Experienced Mathematics, Physics, and Chemistry TutorExperienced Mathematics, Physics, and Ch...
5.0 5.0 (2 lesson ratings) (2)
0
Place the 5 consonants in a circle.  The 4 A's can be in any one of the 5 spaces between the consonants.
Once this is done, the consonants on both sides of the A's are fixed.
For each placement of the A's, there are 3! way to arrange the remaining 3 consonants.
 
Therefore, there are 5(3!) = 30 ways to arrange the letters of the word

JACARANDA in a circle if the A's must be together.