Vowels

Well, this is a Maths question. The answer is 336 if I am not wrong.

Yes, it's a math problem. First think of how many ways the vowels can be in order. IAE, IEA, AIE, AEI, EIA, EAI = 6. That was more easily solved as 3! = 6.

Then consider the vowels as one "letter," which we'll call V. So now you have the letters D, S, T, N C, and V, or 6 letters, they can be arranged 6! different ways, or 720 ways. Mutliple the number of ways you can combine the vowels (6

4320
6 ways to arrange AEI (AEI, AIE, EAI, IAE, EIA, IEA)

6 different positions to place each of the AEI arrangements (Positions 1-2-3 through 6-7-8)

120 ways to arrange the remaining DSTNC (DSTNC, DSTCN, ...)
6 x 6 x 120 = 4320
CJ
P.S. Hey, GG! That was an interesting move -- taking all three vowels as a separate element in the mix! More than one way to s