document.write( "Question 1194623: Find the total number of different permutations of all the letters of the word SECONDARY.\r
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document.write( "Select one:\r
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document.write( "a.
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document.write( "36,288\r
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document.write( "b.
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document.write( "362,880\r
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document.write( "c.
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document.write( "181,440\r
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document.write( "d.
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document.write( "90,720 \n" );
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Algebra.Com's Answer #826865 by math_tutor2020(3817)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Each letter in the given word is unique, so we don't have any worries about repeat letters.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "There are 9 letters in the word, which is the number of choices for the first slot \n" ); document.write( "Then we have 9-1 = 8 choices for the next slot \n" ); document.write( "Then 7 choices for the third, and so on. \n" ); document.write( "Count down until reaching 1. \n" ); document.write( "This countdown happens because we cannot reuse any letters already selected.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Then multiply: \n" ); document.write( "9*8*7*6*5*4*3*2*1 = 362,880\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The shortcut would be to say \n" ); document.write( "9! = 362,880 \n" ); document.write( "This is factorial notation. \n" ); document.write( "Many calculators have an exclamation mark button somewhere on the calculator face, or the factorial feature is buried in a submenu somewhere.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Answer: 362,880 (choice B) \n" ); document.write( " \n" ); document.write( " |