document.write( "Question 1150509: With the help of permutations:
\n" ); document.write( " Consider all positive integers with three different digits. (Note that zero cannot be the first digit.) Find the number of
\n" ); document.write( "them which are: (a) greater than 700; (b) odd; (c) divisible by 5. \n" ); document.write( "

Algebra.Com's Answer #771869 by ikleyn(52781) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "

\r\n" );
document.write( "\r\n" );
document.write( "In my previous post, I asked the visitor, if the three given conditions should be satisfied simultaneously or separately\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "     My question is here\r\n" );
document.write( "  https://www.algebra.com/algebra/homework/Permutations/Permutations.faq.question.1150507.html\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "I did not get an answer.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "It looks like the person who posted it, does not understand my question.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Therefore, I will make my own assumptions.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "I will assume that all three conditions a), b) and c) should be satisfied simultaneously.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Then the first digit (hundreds digit) must be 7, 8, or 9 (three possibilities);\r\n" );
document.write( "\r\n" );
document.write( "     the last digit (ones digit) must be 5, and\r\n" );
document.write( "\r\n" );
document.write( "the middle digit (tens digit) can be any of 8 digits from 0 to 9, excluding the digit in the first position and excluding 5.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "It gives the total number of cases  3*8 = 24.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "ANSWER.  24 different numbers.\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );