document.write( "Question 408132: 1. A quiz consists of six multiple choice questions, each with five choices. In how many ways can a student mark the answers to all the questions, markng all of them incorrectly?\r
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\n" ); document.write( "\n" ); document.write( "2. Calculate the number of ways in which four paintings can be awarded first, second, third, and fourth prizes at an art competition in which a total of 30 paintings are displayed.\r
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Algebra.Com's Answer #287581 by ewatrrr(24785) $\"\"$ $\"About$

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document.write( "Hi, 
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document.write( "1. A quiz consists of six multiple choice questions, each with five choices.
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document.write( "  In how many ways can a student mark the answers to all the questions, markng
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document.write( " all of them incorrectly?  
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document.write( "Four ways for each of the 6 questions to mark incorrectly: Note: It is agreed
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document.write( "Ways to mark ALL 6 incorrectly: 4  *   4  *  4 * 4  * 4  * 4
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document.write( "                               1stQ  2ndQ  3rdQ 4thQ 5thQ 6thQ
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document.write( "(Picturing 'each' of the 4 incorrect responses to '1st question' having 
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document.write( "4 unique incorrect responses for 'second question' and 'each' of those case scenarios
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document.write( " having 4 unique incorrect responses for the '3rd question' and so on...)
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document.write( "2. Calculate the number of ways in which four paintings can be awarded first,
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document.write( " second, third, and fourth prizes at an art competition in which a total of 30
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document.write( " paintings are displayed. '30P4' = 30*29*28*27= 657,720 ways \n" );
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