Question

Four students are selected for a relay team. In how many ways can
they line up for the race?

Answer 1

24 possible ways

Explanation:

When a member is chosen to occupy a leg of the 4-member relay, the same member can not be chosen again, because one member cannot occupy more than one leg.

As one person is chosen to run one leg, the options decrease by one. And like the first leg, one person cannot run more than one leg.

This cycle will repeat until the last person occupies the remaining empty leg.

`4! \\= 4*3*2*1\\=12 * 2 * 1\\=24*1\\=24`