document.write( "Question 495815: Assume that the test has 15 questions, each with 6 choices for the
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Algebra.Com's Answer #336209 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Assume that the test has 15 questions, each with 6 choices for the\r\n" );
document.write( "answer.  An answer sheet has one answer for each question.\r\n" );
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document.write( "We can choose the correct answer for the 1st question any of 6 ways.\r\n" );
document.write( "So that's 6 ways to choose the correct answer for the first question.\r\n" );
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document.write( "For each of the 6 ways we can choose the correct answer for the 1st question,\r\n" );
document.write( "we can choose the correct answer to the 2nd question any of 6 ways. \r\n" );
document.write( "So that's 6·6 or 36 ways to choose the correct answers for the first 2\r\n" );
document.write( "questions.\r\n" );
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document.write( "For each of the 6·6 or 6² or 36 ways we choose the correct answer for the \r\n" );
document.write( "1st 2 questions, we can choose the correct answer to the 3rd question any of 6\r\n" );
document.write( "ways. So that's 6·6·6 or 6³ or 216 ways to choose the correct answer for the\r\n" );
document.write( "first 3 questions.\r\n" );
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document.write( "For each of the 6·6·6 or 6³ or 216 ways we choose the correct answer for the\r\n" );
document.write( "1st 3 questions, we can choose the correct answer to the 4th question any of 6\r\n" );
document.write( "ways. So that's 6·6·6·6 or 6⁴or 1296 ways to choose the correct answer for the\r\n" );
document.write( "first 4 questions.\r\n" );
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document.write( "etc., etc., and finally,\r\n" );
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document.write( "For each of the 6·6·6·6·6·6·6·6·6·6·6·6·6·6 or 614 ways we choose the correct \r\n" );
document.write( "answer for the 1st 14 questions, we can choose the correct answer to the 15th\r\n" );
document.write( "question any of 6 ways. So that's 6·6·6·6·6·6·6·6·6·6·6·6·6·6·6 or 615 ways to \r\n" );
document.write( "choose the correct answer for the first 15 questions, which is all of them.\r\n" );
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document.write( "Answer 615 = 470184984576 ways.\r\n" );
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document.write( "Edwin
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