A) 18000
B) 20160
C) 19260
D) 22060
E) Other than those given as options
Correct Answer: A
Solution :
There are 8 letters, out of which 'A' appears 2 times. So, letters of the word SATURDAY can be arranged in \[\frac{8!}{2!}\] ways. There are 3 vowels (A, U, A) which can be arranged in \[\frac{3!}{2!}\] ways Now, no. of ways in which all the vowels come together (considering all the vowels as a single unit) \[=6!\times \frac{3!}{2!}\] \[\therefore \] Required no. of ways in which all the vowels do not come together \[=\frac{8!}{2!}-\frac{6!3!}{2!}\] \[=20160-2160=18000\]
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