document.write( "Question 942561: Using all the prime numbers less than 10 how many four-digit even numbers can be made if repetition is not allowed? \n" ); document.write( "
Algebra.Com's Answer #575027 by Edwin McCravy(20055)![]() ![]() You can put this solution on YOUR website! The prime numbers less than 10 are 2,3,5, and 7.\r\n" ); document.write( "\r\n" ); document.write( "The 4th digit is the most restrictive. It can only be 2\r\n" ); document.write( "since the 4 digit number must be even.\r\n" ); document.write( "\r\n" ); document.write( "Choose the 4th digit 1 way, as 2.\r\n" ); document.write( "Choose the 1st digit 3 ways, as 3,5, or 7\r\n" ); document.write( "Choose the 2nd digit 2 ways.\r\n" ); document.write( "Choose the 3rd digit 1 way.\r\n" ); document.write( "\r\n" ); document.write( "Answer: 1×3×2×1 = 6 ways.\r\n" ); document.write( "\r\n" ); document.write( "They are\r\n" ); document.write( "\r\n" ); document.write( "3572, 3752, 5372, 5732, 7352, 7532.\r\n" ); document.write( "\r\n" ); document.write( "Edwin\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |