Question

In how many ways can 5 people be chosen and arranged in a straight line, if there are 11 people from whom to choose?

Answer 1

First of all, the 5 people can be chosen from the 11 in
C(11,5) or 462 ways
so there are 462 groups of 5, but each of these can be arranged in 5! ways

so total number of ways for your situation is 462x5! = 55440