document.write( "Question 893814: A club has 49 members.
\n" ); document.write( "
\n" ); document.write( "a) How many ways are there to choose four members of the club to serve on an executive committee?
\n" ); document.write( "
\n" ); document.write( " [Num] ways
\n" ); document.write( "
\n" ); document.write( "b) How many ways are there to choose a president, vice president, secretary, and treasurer of the club, where no person can hold more than one office?
\n" ); document.write( "
\n" ); document.write( " [Num] ways
\n" ); document.write( "

Algebra.Com's Answer #541532 by algebriac(10)\"\" \"About 
You can put this solution on YOUR website!
Part a)\r
\n" ); document.write( "\n" ); document.write( "Number of ways= 49 C 4= 211876\r
\n" ); document.write( "\n" ); document.write( "Part b)\r
\n" ); document.write( "\n" ); document.write( "Number of ways of choosing a president= 49 C 1= 49
\n" ); document.write( "Number of ways of choosing a Vice president= 48 C 1= 48
\n" ); document.write( "Number of ways of choosing a secretary= 47 C 1= 47
\n" ); document.write( "Number of ways of choosing a treasurer= 46 C 1= 46\r
\n" ); document.write( "\n" ); document.write( "Total number of ways= 49*48*47*46 = 5085024
\n" ); document.write( "
\n" );