document.write( "Question 1174676: A certain state uses license plates that have six characters. The first two
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Algebra.Com's Answer #801464 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Don't say \"number\" unless you are including decimals and fractions, positive or\r\n" );
document.write( "negative. Either say \"digit\" or \"single numeral\". You can't have the number\r\n" );
document.write( "-689.732 or 1/2 as a single character on a license plate, yet they are numbers.\r\n" );
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document.write( "So, I'll change your problem to this:\r\n" );
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A certain state uses license plates that have six characters. The first two
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document.write( "There are 10 digits, 0,1,2,3,4,5,6,7,8,9\r\n" );
document.write( "There are 26 letters, 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( "There are 21 consonant letters: B,C,D,F,G,H,J,K,L,M,N,P,Q,R,S,T,V,W,X,Y,Z\r\n" );
document.write( "There are 5 vowels (non-consonant letters) A,E,I,O,U\r\n" );
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How many license plates can be made if:
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document.write( "Pick the 1st character as any one of these 36 characters:\r\n" );
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document.write( "0,1,2,3,4,5,6,7,8,9,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" );
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document.write( "Pick the second character as any one of these 36 characters.\r\n" );
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document.write( "0,1,2,3,4,5,6,7,8,9,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" );
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document.write( "Pick the third character as any one of these 21 characters. \r\n" );
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document.write( "B,C,D,F,G,H,J,K,L,M,N,P,Q,R,S,T,V,W,X,Y,Z\r\n" );
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document.write( "Pick the fourth character as any one of these 21 characters. \r\n" );
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document.write( "B,C,D,F,G,H,J,K,L,M,N,P,Q,R,S,T,V,W,X,Y,Z\r\n" );
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document.write( "Pick the fifth character as any one of these 21 characters. \r\n" );
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document.write( "B,C,D,F,G,H,J,K,L,M,N,P,Q,R,S,T,V,W,X,Y,Z\r\n" );
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document.write( "Pick the sixth character as any one of these 21 characters. \r\n" );
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document.write( "B,C,D,F,G,H,J,K,L,M,N,P,Q,R,S,T,V,W,X,Y,Z\r\n" );
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document.write( "Answer: 36x36x21x21x21x21 - 362214 = 429981696\r\n" );
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How many license plates can be made if:
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document.write( "Case 1: digit, digit,consonant,consonant,consonant,consonant.\r\n" );
document.write( "(10)(9)(21)(20)(19)(18) = 12927600\r\n" );
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document.write( "Case 2: digit, vowel,consonant,consonant,consonant,consonant.\r\n" );
document.write( "(10)(5)(21)(20)(19)(18) = 7182000\r\n" );
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document.write( "Case 4. digit, consonant,consonant,consonant,consonant,consonant.\r\n" );
document.write( "(10)(21)(20)(19)(18)(17) = 24418800\r\n" );
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document.write( "Case 5: vowel,digit,consonant,consonant,consonant,consonant.\r\n" );
document.write( "(5)(10)(21)(20)(19)(18) = 7182000\r\n" );
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document.write( "Case 6: vowel,vowel,consonant,consonant,consonant,consonant.\r\n" );
document.write( "(5)(4)(21)(20)(19)(18) = 2872800\r\n" );
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document.write( "Case 7: vowel, consonant,consonant,consonant,consonant,consonant.\r\n" );
document.write( "(5)(21)(20)(19)(18)(17) = 12209400\r\n" );
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document.write( "Case 8: consonant,digit,consonant,consonant,consonant,consonant.\r\n" );
document.write( "(21)(10)(20)(19)(18)(17) = 24418800\r\n" );
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document.write( "Case 9: consonant,vowel,consonant,consonant,consonant,consonant.\r\n" );
document.write( "(21)(5)(20)(19)(18)(17) = 12209400\r\n" );
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document.write( "Case 10: consonant,consonant,consonant,consonant,consonant,consonant.\r\n" );
document.write( "(21)(20)(19)(18)(17)(16) = 39070080\r\n" );
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document.write( "You add 'em up.\r\n" );
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document.write( "Edwin
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