document.write( "Question 604095: The door code to get into a top secret laboratory is 6 digits. the first 3 digits of the code are all odd and the last 3 digits are all even. Digits can be used more than once. How many possible codes are there to gain access to this laboratory?\r
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document.write( "This is a Permutations and Combinations question. \n" );
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Algebra.Com's Answer #380941 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! There are 10 single digit numbers (0,1,2,3,4,5,6,7,9,0)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "There are 5 even single digit numbers (0,2,4,6,8)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "There are 5 odd single digit numbers (1,3,5,7,9)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So there are 5*5*5 = 125 ways to construct the first part of the code and 5*5*5 = 125 ways to construct the second part.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "In total, there are 125*125 = 15625 codes possible. \n" ); document.write( " |