arrangements

 

Determine the number of ways to arrange the letters of the word PARABOLA, where the As are all adjacent.    

 

Since the A's all have to be adjacent, you can consider them as a single character. 

 

Then you just have to calculate the permutations of 6 items taken 6 at a time.  example:  PRBOL(AAA)  

 

6P6  =  720 ways  

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