document.write( "Question 967414: In a shipment of 18 smart phones, 2 are defective. How many ways can a quality control inspector randomly test 4 smart phones, of which 2 are defective? \n" ); document.write( "
Algebra.Com's Answer #591273 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! 18 phones total \n" ); document.write( "16 nondefective \n" ); document.write( "2 defective\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Testing 4 phones: 2 defective, 2 nondefective\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-------------------------------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Number of ways to pick 2 defective phones:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2 C 2 = (2!)/(2!*(2-2)!) = 1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I'm using the combination formula.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "There is 1 way to pick 2 defective phones from a pool of 2 total defective phones.\r \n" ); document.write( "\n" ); document.write( "-------------------------------------------------------\r \n" ); document.write( "\n" ); document.write( "Number of ways to pick 2 nondefective phones\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "16 C 2 = (16!)/(2!*(16-2)!) = 120\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-------------------------------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So there are 1*120 = 120 different ways to pick 4 smart phones, of which 2 are defective \n" ); document.write( " |