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?
2 answers:
Answer: 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.
It would be 20, because;
1 - 2 / 3 / 4 / 5
2 - 1 / 3 / 4 / 5
3 - 1 / 2 / 4 / 5
4 - 1 / 2 / 3 /5
5 - 1 / 2 / 3 / 4
= 4x5 = 20
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