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
\(\frac{11!}{2!2!}\)
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
MATHEMATICS is an eleven-letter word = 11!
There are 2Ms and 2As and 2Ts
Divide the number of repeating letters
= \(\frac{11!}{2!2!2!}\)
Source: Myschool Past Questions Archive (Record #46351)