Question

The Martian Colonies elect their government through a lottery. There are 100,000 people living on Mars, and every year, a council of 99 co-equal leaders is randomly selected from the population. In how many ways can the leadership be elected? Give your answer in terms of permutations or combinations and explain your choice. You do not have to evaluate.

Answer 1

Answer:

$100,000C999$

Step-by-step explanation:

Given that the Martian Colonies elect their government through a lottery. There are 100,000 people living on Mars

every year, a council of 99 co-equal leaders is randomly selected from the population.

Since these are members, order of selection of not important

So combinations woul dbe used here.

Total number of persons avaiiable = 100,000

No of persons to be selected = 999

No of ways this can be done =

999 out of 100,000

= $100,000C999$