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!} $

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