document.write( "Question 891919: How many combinations of 3 numbers are there in 23 numbers, when the order of each group doesn't matter?\r
\n" ); document.write( "\n" ); document.write( "EX: Group A would be 1,2,3 OR 2,3,1 OR 3,2,1 OR 1,3,2, etc... These would all be considered the same group.
\n" ); document.write( "

Algebra.Com's Answer #540478 by Edwin McCravy(20054)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "That the combinations of 23 things taken 3 at a time.\r\n" );
document.write( "\r\n" );
document.write( "\"%2823%2A22%2A21%29%283%2A2%2A1%29\" = 1771\r\n" );
document.write( "\r\n" );
document.write( "Notice that the top and bottom both contain 3 factors.\r\n" );
document.write( "Each successive factor is one less than the preceding factor.\r\n" );
document.write( "We begin the numerator with 23 and the denominator with 3.\r\n" );
document.write( "\r\n" );
document.write( "This is sometimes written as C(23,3), 23C3, or \"%28matrix%282%2C1%2C23%2C3%29%29\"\r\n" );
document.write( "\r\n" );
document.write( "But it means 1771.\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );