document.write( "Question 1152140: In how many ways can 5 differently colored marbles be arranged in a row? \n" ); document.write( "

Algebra.Com's Answer #774074 by MathLover1(20849) $\"\"$ $\"About$

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\n" ); document.write( "The first marble can be one of $\"5\"$ colors.\r
\n" ); document.write( "\n" ); document.write( "For each of these $\"5\"$ colors, the second marble can then be one of $\"4+\"$ colors.\r
\n" ); document.write( "\n" ); document.write( "For each of these $\"5%2A4\"$ combinations, the third marble can be one of $\"+3+\"$ remaining colors.\r
\n" ); document.write( "\n" ); document.write( "For each of these $\"5%2A4%2A3\"$ combinations, the fourth marble can be one of $\"2\"$ remaining colors.\r
\n" ); document.write( "\n" ); document.write( "For each of these $\"5%2A4%2A3%2A2+\"$ combinations, the last marble can only be the $\"1\"$ remaining color.\r
\n" ); document.write( "\n" ); document.write( "Total combinations: $\"5%2A4%2A3%2A2%2A1+=+5%21++=+120\"$ \r
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