Question 24
Let $n$ denote the number of ways of arranging all the letters of the word MATHEMATICS in one row such that
- both M’s precede both T’s; and
- neither the two M’s nor the two T’s are next to each other.
Determine the value of $\dfrac n{6!}$.
- both M’s precede both T’s; and
- neither the two M’s nor the two T’s are next to each other.
Determine the value of $\dfrac n{6!}$.