document.write( "Question 1203131: the number of distinct ways a class President, Secretary, and Treasurer can be selected from a group of 100 students.
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #838441 by ikleyn(52781) $\"\"$ $\"About$

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

\r\n" );
document.write( "\r\n" );
document.write( "100 candidates for 1st position;\r\n" );
document.write( "\r\n" );
document.write( " 99 candidates for 2nd position  (the remaining students in the class);\r\n" );
document.write( "\r\n" );
document.write( " 98 candidates for 3rd position  (the remaining students in the class).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "In total, there are 100*99*98 = 970200 distinct ways.    ANSWER\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Solved in full, with comprehensive explanations.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "-------------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "To see many other similar and different problems solved with complete explanations, look into the lesson\r
\n" ); document.write( "\n" ); document.write( " - Special type permutations problems \r
\n" ); document.write( "\n" ); document.write( "in this site.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Learn the subject from there once and for all.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The standard mantra is the same for all such problems.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "These problems relate to permutations, where the order in selected subsets (triples, in this case) DOES MATTER.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );