In how many ways can the letters of a word...

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In how many ways can the letters of a word...

by swerve » Tue Oct 31, 2017 9:23 am
In how many ways can the letters of a word 'G M A T I N S I G H T' be arranged to form different words such that vowels occupy the odd numbered positions in the word (whether the word makes sense or not)?

A) 11!
B) 15*8!
C) 8!
D) 8!/(2!*2!)
E) 11!/(2!*2!*2!)

The OA is B.

I don't have clear this PS question. Please, can any expert assist me with it? Thanks.