document.write( "Question 164173: A talent contest has 8 contestants. Judges must award prizes for first, second and third prizes. If there are no ties,
\n" ); document.write( "(a) in How many different ways can the 3 prizes be awarded, and,
\n" ); document.write( "(b) how many different groups of 3 people can get prizes?
\n" ); document.write( "

Algebra.Com's Answer #120950 by alicealc(293)\"\" \"About 
You can put this solution on YOUR website!
(a) 8 * 7 * 6 = 336 ways\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "(b) use combination:
\n" ); document.write( " \"C%288%2C3%29+=+8%21%2F%28%288+-+3%29%21+%2A+3%21%29\"
\n" ); document.write( " = \"8+%2A+7+%2A+6+%2A+5%21%2F%285%21+%2A+3+%2A+2+%2A+1%29\"
\n" ); document.write( " = \"8+%2A+7+%2A+6%2F6%29\"
\n" ); document.write( " = 8 * 7
\n" ); document.write( " = 56 groups
\n" ); document.write( "
\n" );