document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1196897>Question 1196897</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Bailey the dog owns 8 balls. 4 are colored red, 3 are colored yellow, and 1 is blue. If she fetches 3 balls from her collection, how many different color combinations are possible? </SPAN>\n" );
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document.write( "Answer: 7\r<BR>\n" );
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document.write( "Reasoning:\r<BR>\n" );
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document.write( "Let,<BR>\n" );
document.write( "B = blue<BR>\n" );
document.write( "R = red<BR>\n" );
document.write( "Y = yellow\r<BR>\n" );
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document.write( "The given data set is <BR>\n" );
document.write( "B,RRRR,YYY<BR>\n" );
document.write( "the task is to select three of these to see how many color combos we can form.\r<BR>\n" );
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document.write( "The seven different color combos are:<ol><li>BRR</li><li>BRY</li><li>BYY</li><li>RRY</li><li>RYY</li><li>RRR</li><li>YYY</li></ol>Here's the process I did:<BR>\n" );
document.write( "Start with B which is toward the beginning of the alphabet compared to R and Y. There's only one ball of this color so we can't select another B.<BR>\n" );
document.write( "Then select the next highest letter R, followed by another R<BR>\n" );
document.write( "That forms BRR meaning a blue ball, red, and then another red is selected. <BR>\n" );
document.write( "The order doesn't matter due to the word \"combinations\" (in contrast to permutations where order does matter)\r<BR>\n" );
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document.write( "Then place the balls back. <BR>\n" );
document.write( "Select B again, then R, then Y this time<BR>\n" );
document.write( "That forms BRY which is the second item on the list.<BR>\n" );
document.write( "The idea is to sequentially scroll through the terms alphabetically until fully exhausting the list of all seven possibilities.<BR>\n" );
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