Permutations And Combinations Question 31

Question: How many words can be made out from the letters of the word INDEPENDENCE, in which vowels always come together [Roorkee 1989]

Options:

A) 16800

B) 16630

C) 1663200

D) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

  • Required number of ways are $ \frac{8\ !}{2\ !\ 3\ !}\times \frac{5\ !}{1\ !}=16800 $ . {Since IEEEENDPNDNC = 8 letters}.

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