SOLUTION: How many distinct permutations can be made from the letters of the word “miscellaneous” that start with “mi”?

Algebra.Com
Question 1200107: How many distinct permutations can be made from the letters of the word
“miscellaneous” that start with “mi”?

Found 2 solutions by Edwin McCravy, ikleyn:
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
Since the words start with "mi", we only need to find the distinguishable
permutations of "scellaneous" for "mi" can be placed in front of each of them.

If we could tell the two s's apart, the two e's apart, the two l's apart, the
answer would be 11!, but since we cannot tell them apart, we must divide by the
factorial of each of the numbers of the letters that we cannot tell apart.  So the
answer is:



Edwin

Answer by ikleyn(52803)   (Show Source): You can put this solution on YOUR website!
.

To see many other similar  (and different)  solved problems,  look into the lesson
    - Arranging elements of sets containing indistinguishable elements
in this site.

After reading,  your horizon become much wider,  and you will tackle
such problems on your own,  without asking for help from outside.



RELATED QUESTIONS

how many distinct permutations can can be made from the letters of the word... (answered by oscargut)
how many distinct permutations can be made from the letters of the word "mathematics". (answered by Theo)
How many distinct permutations can be made from the letters of the word... (answered by stanbon)
How many distinct permutations can be made from the letters of the word "STATISTICS"? (answered by ikleyn)
How many distinct permutations can be made from the letters of the word... (answered by greenestamps)
how many distinct permutations can be formed from all the letters of the word SUCCESS (answered by Edwin McCravy)
How many distincts permutation can be made from the letters of the word COLUMNS? How... (answered by amarjeeth123)
If an experiment consists of throwing a die and then drawing a letter at random from the... (answered by stanbon)
How many distinct permutations can be made out of the word "CONCOCTION" that begins and... (answered by swincher4391)