document.write( "Question 552588: There are 13 basketball players. All the players sit in a row on a bench. Determine the number of ways to arrange them such that the two youngest players sit together. \r
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Algebra.Com's Answer #360406 by AnlytcPhil(1806)\"\" \"About 
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There are 13 basketball players. All the players sit in a row on a bench. Determine the number of ways to arrange them such that the two youngest players sit together.
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document.write( "Suppose the 13 basketball players are\r\n" );
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document.write( "A, B, C, D, E, F, G, H, I, J, K, L, M\r\n" );
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document.write( "Suppose L and M are the youngest.  Then we have to arrange either these\r\n" );
document.write( "12 \"things\", where a \"thing\" is either a player or the pair of youngest\r\n" );
document.write( "players, where L is left of M\r\n" );
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document.write( "A, B, C, D, E, F, G, H, I, J, K, (LM)\r\n" );
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document.write( "or these 12 \"things\" where L is right of M\r\n" );
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document.write( "A, B, C, D, E, F, G, H, I, J, K, (ML)\r\n" );
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document.write( "In each case you can choose the left most thing 12 ways, the next one\r\n" );
document.write( "11 ways, the next one 10, ways,... the next to the right one 2 ways and the\r\n" );
document.write( "thing on the far right 1 way.  That's\r\n" );
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document.write( "12×11×10×9×8×7×6×5×4×3×2×1 = 12! = 479001600\r\n" );
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document.write( "But we must double this since we can have (LM) or (ML)\r\n" );
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document.write( "Answer =  479001600×2 = 958003200\r\n" );
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document.write( "Looks like you're exactly right!\r\n" );
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document.write( "Edwin
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