SOLUTION: In how many ways can 5 differently colored marbles be arranged in a row?

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Question 1152140: In how many ways can 5 differently colored marbles be arranged in a row?
Answer by MathLover1(20849) About Me  (Show Source):
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The first marble can be one of 5 colors.
For each of these 5 colors, the second marble can then be one of 4+colors.
For each of these 5%2A4 combinations, the third marble can be one of+3+remaining colors.
For each of these 5%2A4%2A3 combinations, the fourth marble can be one of 2 remaining colors.
For each of these 5%2A4%2A3%2A2+combinations, the last marble can only be the 1 remaining color.
Total combinations: 5%2A4%2A3%2A2%2A1+=+5%21++=+120