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Question

Question: The number of ways in which the letters of the word ARTICLE can be rearranged so that the even place...

The number of ways in which the letters of the word ARTICLE can be rearranged so that the even places are always occupied by consonants is

A

576

B

4C3× (4!)

C

2(4!)

D

None of these

Answer

576

Explanation

Solution

The number of ways to fill the three even places by 4 consonants = 4P3

After filling the even places, remaining places can be filled in 4P4 ways

So, the required number of words = 4p3 × 4P4 = 576