document.write( "Question 1202857: From a selection of sixteen courses fulfilling a humanities requirement, a student must pick any four to take. How many different combinations of courses are possible? \n" ); document.write( "
Algebra.Com's Answer #838026 by Theo(13342) You can put this solution on YOUR website! c(n,x) is the formul to use. \n" ); document.write( "n is the number of possibe choices. \n" ); document.write( "x is the number of choices to extract from that. \n" ); document.write( "n = 16 \n" ); document.write( "4 = x \n" ); document.write( "c(n,x) = n! / (x! * (n-x)!) \n" ); document.write( "when n = 16 and x = 4, the equation becomes c(16,4) = 16! / (4! * 12!) = (16 * 15 * 14 * 13 * 12!) / (4! * 12!) = (16 * 15 * 14 * 13) / (4 * 3 * 2 * 1) = 1820.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |