There are 5 swimmers in a race. there will be a first-place and a second-place prize awarded. in how many different ways can the 2 prizes be awarded?

so we have 5 positions, but we only care for the first two.

So, in the first position there are 5 options (because there are 5 swimmers).

In the second position whe will have 4 options (because there are already one swimmer in the first position).

So you have 5*4 = 20 ways for the prizes to be awarded.

my guess would be b and d, but i didn’t actually get out the pen and paper. lol