document.write( "Question 1151866: A classic children's toy consists of 12 different blocks that combine to form a rectangle showing a man's face. Each block has four sides with alternatives for that part of the face; for example, the block for the right eye might have a closed eye on one side, a partially open eye on another, and so on. A child can turn any block and so change that part of the face, and in this way many different faces can be formed.\r
\n" ); document.write( "\n" ); document.write( "If a child makes one change each minute and spends 40 hours a week changing faces, how many years will it take to see every possible face? (Round your answer to the nearest whole number.)\r
\n" ); document.write( "\n" ); document.write( "For this problem I know that there are 16777216 possibilities because its 4^12 but I am uncertain as to how to figure out how much time it would take to see each option. \n" ); document.write( "

Algebra.Com's Answer #773728 by ikleyn(52777) $\"\"$ $\"About$

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document.write( "For an estimation,  1 year = 52 weeks = 52*40 = 2080 working hours = 2080*60 = 124800 minutes = 124800 changes.\r\n" );
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document.write( "Time in years =  = 134.43 years = 135 years (rounded to the nearest greater integer value, \r\n" );
document.write( "                                                     to ensure that the job will be completed).    ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "Answered and solved.\r
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\n" ); document.write( "\n" ); document.write( "Is everything clear to you ?\r
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\n" ); document.write( "\n" ); document.write( "If not, ask your questions.\r
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\n" ); document.write( "\n" ); document.write( "If you do, please refer to the problems' ID number 1151866.\r
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