Question 1160371: Find the number of ways of permutation the word hell such that the 2ls will always be together
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! if you want to have the L's be together, then treat them as one.
your permutation becomes 3! rather than 4!.
3! = 3 * 2 * 1 = 6 ways this can happen.
the ways are:
HELL
EHLL
HLLE
ELLH
LLEH
LLHE
since this is a permutation, and not a combination, each set is considered different, even though each may contain the same letters, since order is important in a permutation, while order is not important in a combination.
if this was a combination instead of a permutation, then your possible sets would be:
HELL
HLLE
LLHE
for example:
HELL AND EHLL contain the same letters, but in a dirrerent order.
as a permutation, they are considered members of separate sets.
as a combination, they are considered members of the same set.
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