Question

8 students are participating in a competition. In how many ways can the first three prizes be won?

Answer 1

$8$ Students in a competition

first three places

out of $8$ only $3$ can win

${}^8{P}_3\Rightarrow \frac{8!}{5!}\Rightarrow (8\times 7\times 6)\Rightarrow (56\times 6)$

$\Rightarrow 336$ ways

Hence the correct answer is $336$ ways