document.write( "Question 946087: With solution please
\n" ); document.write( "1.) In how many ways can 6 men be arranged in a row for a show if just 4 men are capable of acting as end men?
\n" ); document.write( "2.) The captain of a basketball team assign himself to the 4th place in the shooting order. In howmany ways can he assign the remaining to his 4 teammates, if just 3 men are considered eligible for the first position?
\n" ); document.write( "3.) A college freshman must take Mathematics, an English and a Social Science subjects. If he may select 3 Mathematics subjects, and any of English subjects and any of 5 Social Science subjects, in how many ways can he arrange his program?
\n" ); document.write( "4.) Each license plate in a certain state consists of three letters followed by two numbers with repetition allowed. How many different license plates are possible in this state? \n" ); document.write( "
Algebra.Com's Answer #577140 by Edwin McCravy(20054)\"\" \"About 
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With solution please
\n" ); document.write( "1.) In how many ways can 6 men be arranged in a row for a show if just 4 men
\n" ); document.write( " are capable of acting as end men?
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document.write( "Position the 2 end men\r\n" );
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document.write( "That's 4 end men Position 2 = 4P2 = 4*3 = 12 ways.\r\n" );
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document.write( "For each of those 12 ways to position the end men,\r\n" );
document.write( "we can Position the 4 remaining men between them:\r\n" );
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document.write( "That's 4 \"between\"-men Position 4 = 4P4 = 4*3*2*1 = 4! = 24 ways\r\n" );
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document.write( "Answer:  12*24 = 280 ways. \r\n" );
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\n" ); document.write( "2.) The captain of a basketball team assign himself to the 4th place in the
\n" ); document.write( "shooting order. In how many ways can he assign the remaining to his 4
\n" ); document.write( "teammates, if just 3 men are considered eligible for the first position?
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document.write( "Position the 1 first place\r\n" );
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document.write( "That's 3 eligible men Position 1 = 3P1 = 3 ways.\r\n" );
document.write( "For each of those 3 ways to position the first man, \r\n" );
document.write( "we can Position the 3 remaining men in the 3 other positions\r\n" );
document.write( "That's 3 men Position 3 = 3P3 = 3*2*1 = 3! = 6 ways\r\n" );
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\n" ); document.write( "3.) A college freshman must take Mathematics, an English and a Social Science
\n" ); document.write( "subjects. If he may select 3 Mathematics subjects, and any of ??? English
\n" ); document.write( "subjects and any of 5 Social Science subjects, in how many ways can he arrange
\n" ); document.write( "his program?
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document.write( "You forgot to put how many English subjects.\r\n" );
document.write( "3*???*5\r\n" );
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\n" ); document.write( "4.) Each license plate in a certain state consists of three letters followed by
\n" ); document.write( "two numbers with repetition allowed. How many different license plates are
\n" ); document.write( "possible in this state?
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document.write( "Position first letter any of 26 ways.\r\n" );
document.write( "Choose second letter any of 26 ways.\r\n" );
document.write( "Choose third letter any of 26 ways. \r\n" );
document.write( "Choose first digit any of 10 ways.\r\n" );
document.write( "Choose second digit  any of 10 ways.\r\n" );
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document.write( "Answer: 26*26*26*10*10 = 1757600 license plates\r\n" );
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document.write( "Edwin
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