This is a Permutation question solved by P (n,r).
n (Number of objects) = 45
r (Number of samples) = 3
P (n,r) = P (45,3)
P (45,3) =
P (45,3) =
45! = 42! * 43 * 44 * 45
∴ P (45,3) = = 
P (45,3) = 43 * 44 * 45
= 85,140
Therefore, in a group of 45 runners, 3 <span>people can earn gold, silver and bronze medals in 85,140 ways.
<em>p.s - This question should be under Mathematics, not Geography.</em></span>
n (Number of objects) = 45
r (Number of samples) = 3
P (n,r) = P (45,3)
P (45,3) =
P (45,3) =
45! = 42! * 43 * 44 * 45
∴ P (45,3) =
P (45,3) = 43 * 44 * 45
= 85,140
Therefore, in a group of 45 runners, 3 <span>people can earn gold, silver and bronze medals in 85,140 ways.
<em>p.s - This question should be under Mathematics, not Geography.</em></span>