BDSunDevil wrote:

Can someone check for 4 and 5: i keep getting

4: 5!*6p3=2400

5. 720*4=2880

4) All the vowels are never together.

This is equivalent to (All possibilities - All the vowels are ALWAYS together) = 8! - 6!3!

5) Vowels occupy the even positions.

let us consider the following: first 3 vowels placing together in even positions:

-O-U-E--

-O---U-E

---O-U-E

Like this, at any point in time we have 4 positions to fill with 3 letters. Hence no. of ways will be 4P3 = 4!

Remaining 5 positions can be filled by 5!

Hence total ways = 4! x 5!

Hope this is clear. (if you like, give me kudos, please

)

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-Aravind Chembeti