Level:
Project ID:
9000139701
Accepted:
1
Clonable:
0
Easy:
1
There are \(15\)
athletes in an athletic meeting. Determine in how many ways it is possible to
obtain the results on the first six places of the scoreboard if the place on
scoreboard cannot be shared (one athlete per one place on scoreboard).
\(\frac{15!}
{9!} =3\:603\:600\)
\(6^{15}=470\:184\:984\:576\)
\(15!\, 6!=941\:525\:544\:960\:000\)
\(\frac{15!}
{9!\, 6!}=5\:005\)