Question

The principal would like to assemble a committee of 9 students from the 20-member student council. How many different committees can be chosen

Answer 1

167960 different committiees can be chosen

Explanation:

We use the combinatorial formula,

The number of combinations of k objects from a set with n objects is n Choose k, or,

`n!/(k!)(n-k)!\\`

Here, we have to choose 9 students so k = 9 and a total of 20 so n = 20,

which gives,

`20!/(9!)(20-9)!\\=20!/(9!)(11!)\\= 167960`