document.write( "Question 751345: There are 5 airplanes ready to depart. Runway A and runway D are available. How many ways can 2 planes be assigned to runways without using the same runway?
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document.write( "Could you please tell me the answer, and teach me which is N and which is R from the permutation formula, it is a permutation right? Thank you so much for taking the time to answer my question. \n" );
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Algebra.Com's Answer #457131 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! There are 5 airplanes ready to depart. Runway A and runway D are available. How many ways can 2 planes be assigned to runways without using the same runway? \n" ); document.write( "Could you please tell me the answer, and teach me which is N and which is R from the permutation formula, it is a permutation right? Thank you so much for taking the time to answer my question. \n" ); document.write( "---- \n" ); document.write( "Pick a runway: 2 ways \n" ); document.write( "# of ways to assign 3 planes to that runway: 5C3 = 5C2 = 10 ways \n" ); document.write( "Note: Every assignment of 3 to that runway assigns 2 planes to the other. \n" ); document.write( "---- \n" ); document.write( "Each group of 3 planes can be arranged in 3P3 = 3! = 6 ways \n" ); document.write( "Each group of 2 planes can be arranged in 2P2 = 2! = 2 ways \n" ); document.write( "------ \n" ); document.write( "Total # of arrangements: 2*10*6*2 = 240 ways \n" ); document.write( "=========== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |