Question
The number of different 12-letter arrangements that can be made from the letters of the word 'BYJUSCLASSES' so that all vowels do not occur together is 10!4! × A Find the value of 'A'. Given 'A' is a three digit natural number.
Ans: ___.
Answer: Option A
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There are 12 letters, in which 'S' appears 4 times and 3 vowels are A,E,U.
Take all vowels (AUE) as a single object
So number of permutations when vowels occur together = 10!4! × 3!
Arrangements of 12 letters take all at atime = 12!4!
Required arrangements when al vowels do not occur together
= 12!4! - 10!4! × 3!
= 10!4! (12 × 11 -6)
= 10!4! × 126
A = 126
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