Question

There are eight people competing in the track meet this weekend. They are competing for 1st, 2nd, and 3rd place ribbons. How many different ways can the winners be chosen? A. 67 B. 306 C. 336 D. 8,064

Answer 1

Answer:

Option C

Step-by-step explanation:

Assuming P represents the number of outcomes, n the number of competitors and r the number of places to be awarded....

$P = n! / ( n - r )!\\P = 8! / ( 8 - 3 )!\\P = 8! / 5!\\\\Algebra, P = 336 \\Solution = Option C$

There are 336 different possible ways for the winners to be chosen.

Hope that helps!