Question

There are 19 figure skaters in the Olympic women's competition, including 3 Americans. The gold medal goes to first place, silver to second, and bronze to third.

Suppose that the Olympics powers-that-be decide that exactly one American must win a medal (no more and no less). Now how many ways are there to award the medals?

Answer 1

@phi @Preetha @e.mccormick @SithsAndGiggles @TylerD @badatmath_01

Answer 2

you first pick one American out of the 3
3C1
then pick the medal, also 3C1
that leaves 16 others for the remaining two medals
order counts, so 16*15

all together 3*3*16*15

Answer 3

Thx thx thx so much