document.write( "Question 1160259: How many four-character passwords can be formed using the characters A, B, C, 1, 2 if the characters can be repeated? Thank you. \n" ); document.write( "

Algebra.Com's Answer #783552 by ikleyn(52790) $\"\"$ $\"About$

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document.write( "You have 5 opportunities to place any of 5 symbols A, B, C, 1, 2 in the first (leftmost) position.\r\n" );
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document.write( "You have 5 independent opportunities to place any of 5 symbols A, B, C, 1, 2 in the next, second position.\r\n" );
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document.write( "      Thus placing 5 symbols independently in two positions, you have 5*5 = 25 opportunities.\r\n" );
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document.write( "Then you have 5 independent opportunities to place any of 5 symbols A, B, C, 1, 2 in the next, third position.\r\n" );
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document.write( "      Thus placing 5 symbols independently in three positions, you have 5*5*5 = 125 opportunities.\r\n" );
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document.write( "Then you have 5 independent opportunities to place any of 5 symbols A, B, C, 1, 2 in the next, fourth position.\r\n" );
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document.write( "      Thus placing 5 symbols independently in four positions, you have 5*5*5* =  = 625 opportunities.\r\n" );
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document.write( "It means that in all, you may have    different four-character passwords under the given conditions.     ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "It is a standard mantra solving such problems.\r
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\n" ); document.write( "\n" ); document.write( "MEMORIZE it (!)\r
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