document.write( "Question 778846: License plates consist of three letters followed by three numbers. How many different license plates are possible if there is no repetition and
\n" ); document.write( "a.) the three digit number must be even?
\n" ); document.write( "b.) the three digit number cannot CONTAIN a 0? \n" ); document.write( "
Algebra.Com's Answer #474924 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "a.) the three digit number must be even?\r\n" );
document.write( "\r\n" );
document.write( "Example:  TDF-738\r\n" );
document.write( "\r\n" );
document.write( "1. We choose the last digit (It's the most restrictive)\r\n" );
document.write( "[where the 8 is in the example from the set {0,2,4,6,8}]. \r\n" );
document.write( "That's 5 ways.\r\n" );
document.write( "2. We choose the first digit \r\n" );
document.write( "[where the 7 is in the example from the set {0,1,2,3,4,5,6,7,9)]\r\n" );
document.write( "That's 9 ways.\r\n" );
document.write( "3. We choose the middle digit.\r\n" );
document.write( "(where the 3 is in the example from the set {0,1,2,3,4,5,6,9)]\r\n" );
document.write( "That's 8 ways.\r\n" );
document.write( "4. We choose the first letter.\r\n" );
document.write( "(where the T is in the example from the set \r\n" );
document.write( "{A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z}\r\n" );
document.write( "That's 26 ways\r\n" );
document.write( "5. We choose the second letter.\r\n" );
document.write( "(where the D is in the example from the set\r\n" );
document.write( "{A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,U,V,W,X,Y,Z}\r\n" );
document.write( "That's 25 ways\r\n" );
document.write( "5. We choose the last letter.\r\n" );
document.write( "(where the F is in the example from the set \r\n" );
document.write( "{A,B,C,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,U,V,W,X,Y,Z}\r\n" );
document.write( "That's 24 ways\r\n" );
document.write( "\r\n" );
document.write( "Answer 5·9·8·26·25·24 = 5,616,000\r\n" );
document.write( "\r\n" );
document.write( "------------------------------------------------\r\n" );
document.write( "\r\n" );
document.write( "b.) the three digit number cannot CONTAIN a 0?\r\n" );
document.write( "\r\n" );
document.write( "Example:  BQK-964\r\n" );
document.write( "\r\n" );
document.write( "1. We choose the last digit (It's the most restrictive)\r\n" );
document.write( "[where the 4 is in the example from the set {2,4,6,8}]. \r\n" );
document.write( "That's 4 ways.\r\n" );
document.write( "2. We choose the first digit \r\n" );
document.write( "[where the 9 is in the example from the set {1,2,3,5,6,7,9)]\r\n" );
document.write( "That's 7 ways.\r\n" );
document.write( "3. We choose the middle digit.\r\n" );
document.write( "(where the 6 is in the example from the set {1,2,3,5,6,7)]\r\n" );
document.write( "That's 6 ways.\r\n" );
document.write( "4. We choose the first letter.\r\n" );
document.write( "(where the B is in the example from the set \r\n" );
document.write( "{A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z}\r\n" );
document.write( "That's 26 ways\r\n" );
document.write( "5. We choose the second letter.\r\n" );
document.write( "(where the Q is in the example from the set\r\n" );
document.write( "{A,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z}\r\n" );
document.write( "That's 25 ways\r\n" );
document.write( "5. We choose the last letter.\r\n" );
document.write( "(where the K is in the example from the set\r\n" );
document.write( "{A,C,D,E,F,G,H,I,J,K,L,M,N,O,P,R,S,T,U,V,W,X,Y,Z}\r\n" );
document.write( "That's 24 ways\r\n" );
document.write( "\r\n" );
document.write( "Answer 4·7·6·26·25·24 = 2,620,800\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );