document.write( "Question 1141202: A five digit number is formed using digits 0 1 2 3 and 4 without repetition. Find the chance that the number is divisible by 5. \n" ); document.write( "

Algebra.Com's Answer #762084 by ikleyn(52790) $\"\"$ $\"About$

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document.write( "First, let us calculate the number of all possible five digit numbers formed using the digits 0, 1, 2, 3 and 4 without repetition.\r\n" );
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document.write( "The leftmost digit can be any of four digits 1, 2, 3 or 4, which gives 4 options.\r\n" );
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document.write( "The next digit can be any of 4 remaining digits, which gives 4 options.\r\n" );
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document.write( "Using similar arguments, you will get 4*4*3*2*1 = 96 for the number of all possible five digit numbers formed \r\n" );
document.write( "using the digits 0, 1, 2, 3 and 4 without repetition.\r\n" );
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document.write( "The numbers divisible by 10 are those of them that ended by 0 (by zero),\r\n" );
document.write( "and the number of such numbers is 4*3*2*1 = 24.\r\n" );
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document.write( "Thus the probability  P  under the question is the ratio  \r\n" );
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document.write( "    P =  =  = 0.25 = 25%.      ANSWER\r\n" );
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