Quantitative Aptitude Ques 479
Question: In how many different ways can the letter of word MATHEMATICS be arranged?
Options:
A) $ \frac{10!}{2!,\times 3!} $
B) $ 11! $
C) $ \frac{11!}{2!,\times 2!,\times 2!} $
D) $ \frac{10!}{2!,\times 2!,\times 2!} $
Show Answer
Answer:
Correct Answer: C
Solution:
- 11 letters can be arranged in 11! ways. Out of these letters M, A and T are repeated twice each.
$ \therefore $ Total number of different words $ =\frac{11!}{2!\times 2!\times 2!} $