SOLUTION: How many ways can the letters A,B,C,D,E, and F be arranged in a row 4 at a time if neither A nor C can be second and E must be third? Repetition is permitted.

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Question 964708: How many ways can the letters A,B,C,D,E, and F be arranged in a row 4 at a time if neither A nor C can be second and E must be third? Repetition is permitted.
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
How many ways can the letters A,B,C,D,E, and F be arranged in a row 4 at a time if
neither A nor C can be second and E must be third? Repetition is permitted. 

Choose the 1st letter any of these 6 ways {A,B,C,D,E,F}

Choose the 2nd letter any of these 4 ways {B,D,E,F}

Choose the 3rd letters only 1 way {E}

Choose the 4th letter any of these 6 ways {A,B,C,D,E,F}

Answer: 6×4×1×6 = 144 ways

Edwin
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