I'm having an issue with a math question:
"How many combinations are there of the word "clementine" with a maximum with 3 repeated consonants?"
The issue I have is understanding how to account for the combinations of the consonants.
As there are 4 vowels and 6 consonants but at most only 3 consonants should be next to each other, so...
(1 C) (1 L) (2 N) (1 M) (1 T) <- Consonants
(3 E) (1 I) <- Vowels
So far I believe I'm on the correct path however I am confused on calculating how many spaces the 3 letters can fit into:
4!/(2!1) X 6!/(3!1)X (the number of spaces that 3 consonants can group in?)
Any help in understanding the process for this question better would be appreciated. I'm aware there are many questions on the subject on stackoverflow and have looked at a number including :
However, I'm uncertain how to handle the specific instance of having multiple consonants together in the space.