document.write( "Question 1095609: A school teacher has 6 girls and 8 boys to arrange for a choir. Determine the number of ways she can arrange the 14 children,
\n" ); document.write( "a) if the boys should stand behind the girls.
\n" ); document.write( "b) in a single row, if the girls must be kept together.
\n" ); document.write( "c) in a single row, if no two girls should stand next to each other.\r
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Algebra.Com's Answer #710213 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
A school teacher has 6 girls and 8 boys to arrange for a choir. Determine the number of ways she can arrange the 14 children,
\n" ); document.write( "a) if the boys should stand behind the girls.
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\r\n" );
document.write( "BBBBBBBB\r\n" );
document.write( " GGGGGG\r\n" );
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document.write( "Answer = 8! x 6!\r\n" );
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\n" ); document.write( "b) in a single row, if the girls must be kept together.
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\r\n" );
document.write( "We can choose either 0,1,2,3,4,5,6,7, or all 8 boys to place \r\n" );
document.write( "to the left of the row of 6 girls. \r\n" );
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document.write( "GGGGGGBBBBBBBB\r\n" );
document.write( "BGGGGGGBBBBBBB\r\n" );
document.write( "BBGGGGGGBBBBBB\r\n" );
document.write( "BBBGGGGGGBBBBB\r\n" );
document.write( "BBBBGGGGGGBBBB\r\n" );
document.write( "BBBBBGGGGGGBBB\r\n" );
document.write( "BBBBBBGGGGGGBB\r\n" );
document.write( "BBBBBBBGGGGGGB\r\n" );
document.write( "BBBBBBBBGGGGGG\r\n" );
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document.write( "That's 9 ways to arrange them gender-wise, as you see above.\r\n" );
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document.write( "Answer = 9 x 6! x 8!\r\n" );
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\n" ); document.write( "c) in a single row, if no two girls should stand next to each other.
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document.write( "We line up the boys with one space on both sides of each boy.\r\n" );
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document.write( "_B_B_B_B_B_B_B_B_\r\n" );
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document.write( "There are 9 spaces between, before or after the boys available to \r\n" );
document.write( "place the 6 girls in.  That's \r\n" );
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document.write( "9 choose 6 = 9C6 ways to arrange them gender-wise.\r\n" );
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document.write( "Answer = 9C6 x 8! x 6!\r\n" );
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document.write( "Edwin
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