Q. In how many different ways can the letters of the word ‘MATCHEMATICS’ be arranged?
A) $11!$
B) $11!/2!$
C) $11!/(2!)^{2}$
D) $11!(2!)$
Explanation
(d)
In the word MATHEMATICS the letters are 2A, C, E, H, I, 2M, S, 2T
$\therefore$ Total number of different words$= \frac{11!}{2!2!2!} = \frac{11!}{(2!)^{3}}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.