Question 810822: Three pairs of shoes are displayed in a row. In how many ways can the shoes be arranged
(a) with no restrictions on their positions,
(b) if mates must be kept together but mates can be placed in either order,
(c) if mates must be kept together and left and right mates are kept in order, left shoe then right?
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! Three pairs of shoes are displayed in a row. In how many ways can the shoes be arranged:
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(a) with no restrictions on their positions:
6*5*4*3*2*1 = 720
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(b) if mates must be kept together but mates can be placed in either order:
6*1*4*1*2*1 = 48
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(c) if mates must be kept together and left and right mates are kept in order, left shoe then right:
3*1*2*1*1*1 = 6
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