Permutations And Combinations Question 269

Question: The number of words which can be formed from the letters of the word MAXIMUM, if two consonants cannot occur together, is

Options:

A) 4!

B) $ 3!\times 4! $

C) 7 !

D) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

  • $ \bullet \ A\bullet I\bullet U\bullet $ The pointed places to be filled by $ MXMM $ . Hence required number of ways $ 3\ !\ \times \frac{4\ !}{2\ !}=12\ ! $ {Since three vowels can be arranged in $ 3\ ! $ ways also}.

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