In how many ways can the word MATHEMATICS be arranged?
-
A.
(frac{11!}{9!2!}) -
B.
(frac{11!}{9!2!2!}) -
C.
(frac{11!}{2!2!2!}) -
D.
(frac{11!}{2!2!})
Correct Answer: Option C
Explanation
MATHEMATICS is an eleven letter word = 11!
There are 2Ms and 2As and 2Es
Divide the number of repeating letters
= (frac{11!}{2!2!2!})
There is an explanation video available below.