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

Algebra ->  Permutations -> 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      Log On


   



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) About Me  (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

5%21%2F3%21%22%22=%22%22%285%2A4%2A3%2A2%2A1%29%2F%283%2A2%2A1%29%22%22=%22%22120%2F6%22%22=%22%2220 ways:

Edwin