document.write( "Question 398228: If you have 20 students in your class how many different ways can a committee of 5 be chosen if 1 person on the committee will be the president? \n" ); document.write( "
Algebra.Com's Answer #283246 by sudhanshu_kmr(1152)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "it can be solved by two ways......\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1) no. of ways to choose a president for committee = 20 \n" ); document.write( " \n" ); document.write( " no. of ways to choose 4 another members from remaining 19 = 19C4\r \n" ); document.write( "\n" ); document.write( " total no. of ways = 20 * 19C4 \r \n" ); document.write( "\n" ); document.write( " = 77520\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2) no. of ways to choose committee i.e 5 members from 20 = 20C5 \r \n" ); document.write( "\n" ); document.write( " no. of ways to select a president in a committee = 5 \r \n" ); document.write( "\n" ); document.write( "total no. of ways = 20C5 * 5 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "= 77520\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |