document.write( "Question 1158823: Finite mathematics:\r
\n" ); document.write( "\n" ); document.write( "A group of six friends consisting of 4 females and two males are seated in a row. How many different seating arrangements are possible
\n" ); document.write( " (A) If there is no restrictions of seating order?
\n" ); document.write( " (B) If all four females sit together.
\n" ); document.write( " (C) If the oder is MWWMWW? \n" ); document.write( "
Algebra.Com's Answer #781801 by Edwin McCravy(20056)\"\" \"About 
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A group of six friends consisting of 4 females and two males are seated in a
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document.write( "         6! = 720
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\n" ); document.write( "\n" ); document.write( " (B) If all four females sit together.
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document.write( "         There these 3 ways to choose them gender-wise:\r\n" );
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document.write( "         (WWWW)MM, M(WWWW)M, MM(WWWW)\r\n" );
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document.write( "For each of those 3 gender-wise choices,\r\n" );
document.write( "There are 4 choices for the left-most female.\r\n" );
document.write( "There are 3 choices for the next-to-left-most female.\r\n" );
document.write( "There are 2 choices for the next-to-right-most female.\r\n" );
document.write( "There is only 1 choice for the right-most female.\r\n" );
document.write( "There are 2 choices for the left-most male.\r\n" );
document.write( "There is only 1 choice for the right-most male.\r\n" );
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document.write( "Answer 3∙4∙3∙2∙1∙2∙1 = 144 ways
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\n" ); document.write( "\n" ); document.write( " (C) If the order is MWWMWW?
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document.write( "There are 4 choices for the left-most female.\r\n" );
document.write( "There are 3 choices for the next-to-left-most female.\r\n" );
document.write( "There are 2 choices for the next-to-right-most female.\r\n" );
document.write( "There is only 1 choice for the right-most female.\r\n" );
document.write( "There are 2 choices for the left-most male.\r\n" );
document.write( "There is only 1 choice for the right-most male.\r\n" );
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document.write( "Answer 4∙3∙2∙1∙2∙1 = 48 ways
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