document.write( "Question 1057352: consider the number 0, 1 ,3,5,6 how many three digit numbers can be formed a: repetition is not allowed b: repetition is allowed \n" ); document.write( "

Algebra.Com's Answer #672406 by solve_for_x(190) $\"\"$ $\"About$

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a. Repetition is not allowed:\r
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\n" ); document.write( "\n" ); document.write( "Assuming that the three digit number cannot begin with 0, there are four choices for the
\n" ); document.write( "first digit (1, 3, 5, 6), and then four choices for the second digit (because the first choice is
\n" ); document.write( "eliminated, but 0 is possible), and then three choices for the third digit.\r
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\n" ); document.write( "\n" ); document.write( "The number of possible three-digit numbers is then:\r
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\n" ); document.write( "\n" ); document.write( "4 * 4 * 3 = 48\r
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\n" ); document.write( "\n" ); document.write( "b. Repetition is allowed:\r
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\n" ); document.write( "\n" ); document.write( "Again assuming that the three digit number cannot begin with a 0, there are four choices for
\n" ); document.write( "the first digit, and then all five choices for the second digit, and five choices for the third digit.\r
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\n" ); document.write( "\n" ); document.write( "The number of possible three-digit numbers is:\r
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\n" ); document.write( "\n" ); document.write( "4 * 5 * 5 = 100 \n" ); document.write( "

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