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 first or third and D cannot be fourth? Repetition is permitted.

Algebra ->  Permutations -> 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 first or third and D cannot be fourth? Repetition is permitted.      Log On


   

Question 513801: 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 first or third and D cannot be fourth? Repetition is permitted.
Answer by stanbon(75887) About Me  (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 first or third and D cannot be fourth? Repetition is permitted.
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_,_,_,_
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1st letter: 4 ways
2nd letter: 6 ways
3rd letter: 4 ways
4th letter: 5 ways
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Total # of arrangements: 4*6*4*5 = 30*16 = 480 ways
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Cheers,
Stan H.
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