In how many ways can the word MACICITA be arranged?
A
\(\frac{8!}{2!}\)
B
\(\frac{8!}{3! 2!}\)
C
\(\frac{8!}{2! 2! 2!}\)
D
8!
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
MACICITA is an eight letter word = 8!
Since we have repeating letters, we have to divide to remove duplicates accordingly. There are 2A, 2C, 2I
∴ \(\frac{8!}{2! 2! 2!}\)
Source: Myschool Past Questions Archive (Record #46352)