document.write( "Question 749193: I am learning combinations ans permutations, but i am not sure how to do this one. if you could please give an explanation as to how you got the answer that would be great. here is the question: A multiple choice test consists of 15 questions, each permitting a choice of 5 alternatives. In how many ways may a student fill in the answers if they answer each question? Thanks! \n" ); document.write( "
Algebra.Com's Answer #455843 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A multiple choice test consists of 15 questions, each permitting a choice of 5 alternatives. In how many ways may a student fill in the answers if they answer each question? \n" ); document.write( "---- \n" ); document.write( "# of ways to answer the 1st question: 5 ways \n" ); document.write( "# of ways to answer the 2nd question: 5 ways \n" ); document.write( ".... \n" ); document.write( "... \n" ); document.write( "# of ways to answer the 15th question: 5 ways \n" ); document.write( "------ \n" ); document.write( "Total # of ways to answer the 15 questions 5^15 = 3.05176x10^18 ways \n" ); document.write( "-------------------- \n" ); document.write( "Note: This problem does not involve permutations or combinations. \n" ); document.write( "It involves the Fundamental Counting Rule. \n" ); document.write( "---- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "=============== \n" ); document.write( " |