SOLUTION: Consider the distinguishable arrangement of the 12 letters in FRANKINCENSE. a) How many arrangements are there in total? I understand this one, 12!/2!3!, however I cannot ans

Algebra ->  Permutations -> SOLUTION: Consider the distinguishable arrangement of the 12 letters in FRANKINCENSE. a) How many arrangements are there in total? I understand this one, 12!/2!3!, however I cannot ans      Log On


   

Question 1104018: Consider the distinguishable arrangement of the 12 letters in FRANKINCENSE.
a) How many arrangements are there in total?
I understand this one, 12!/2!3!, however I cannot answer the next part,
b) How many arrangements have all three N's together, and have two E's separated?
I would have guessed the answer is 10! 11c2 as the N;s are grouped together, and there are 11 chose 2 spots for the E's
Thank you :)
Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.
All you need to know related to arrangements of sets of objects containing indistinguishable elements, you can find in the lesson
    - Arranging elements of sets containing indistinguishable elements
in this site.