How many ways can the letters a,a,a,a,b,b,b,b,c,c,c (4 a's, 4 b's, 3 c's) be arranged such that 4 consecutive letters are not the same?

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- March 22nd 2010, 11:13 AMFatherMikeArranging Letters
How many ways can the letters a,a,a,a,b,b,b,b,c,c,c (4 a's, 4 b's, 3 c's) be arranged such that 4 consecutive letters are not the same?

Thanks - March 22nd 2010, 12:47 PMPlato