document.write( "Question 1063939: In a row of 6 counters, 3 are red, 2 are blue and 1 is white.
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document.write( "Find the number of arrangements in which no red counter is
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document.write( "next to another red counter.
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document.write( "The answer given is 12. Can you draw boxes and explain it to me? \n" );
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Algebra.Com's Answer #679005 by math_helper(2461)![]() ![]() You can put this solution on YOUR website! I just solved this one this morning:\r \n" ); document.write( "\n" ); document.write( "https://www.algebra.com/algebra/homework/playground/test.faq.question.1063942.html\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Basically, you have _B_B_W_ where the _ are spaces for the Red, so 4C3 selections. \n" ); document.write( "However, the BBW also can be re-arranged in 3 ways because there are 3C1 spaces to place W: BBW, BWB, and WBB\r \n" ); document.write( "\n" ); document.write( "Hence, for each of the 4 arrangements of the Red ones, there are 3 arrangements for W so 4x3 = 12. \r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |