In how many ways can the word MATHEMATICS be arranged?
- \(\frac{11!}{9!2!}\)
- \(\frac{11!}{9!2!2!}\)
-
\(\frac{11!}{2!2!2!}\)
- \(\frac{11!}{2!2!}\)
The correct answer is: C
Explanation
MATHEMATICS is an eleven-letter word = 11!
There are 2Ms and 2As and 2Ts
Divide the number of repeating letters
= \(\frac{11!}{2!2!2!}\)
There is an explanation video available .