SOLUTION: How many permutations can be formed from the letters in the word BANANAS if each arrangement must start and end with a n? *use factorial notation to determine the number of permu

Question 1043289: How many permutations can be formed from the letters in the word BANANAS if each
arrangement must start and end with a n?
*use factorial notation to determine the number of permutation.

Answer by Edwin McCravy(20054) (Show Source): You can put this solution on YOUR website!


BANANAS

They must all start and end with N like this:

NBAAASN

This amounts to getting the number of distinguishable 
arrangements of BAAAS to place between the two N's.

Since there are three indistinguishable A's in BAAAS, it's

 ways:

Edwin

RELATED QUESTIONS
how many different arrangements can be made from the letters of the word purchase if each (answered by stanbon)
If a "word" is any arrangement of 3 different letters, how many 3-letter "words" can be... (answered by ikleyn)
how many different arrangement of the letters in the word "ellipses" can be formed if the (answered by Edwin McCravy)
How many different 4-letter arrangement can be formed from the letters in the word... (answered by stanbon)
How many different three letter permutations can be formed from the letters in the word... (answered by Theo)
how many different three letter permutations can be formed from the letters in the word... (answered by checkley77)
How many different three letter permutations can be formed from the letters in the word... (answered by checkley77)
How many different 4-letter permutations can be formed from the letters in the word... (answered by Edwin McCravy)
How many different permutations can be formed from the letters in the word... (answered by ikleyn)