Question

The student body of 135 students wants to elect two representatives.This is an example of ____? (Combination or Permutation?)n = ____?r = ____?There are _____ways to choose tworepresentatives from the student body.

Answer 1

Step-by-step explanation

permutations and combinations, the various ways in which objects from a set may be selected, generally without replacement, to form subsets. This selection of subsets is called a permutation when the order of selection is a factor, a combination when order is not a factor.

In our case Since 2 representative has to be elected from a student body of 135

This is an example of Combination because neither was the rank given nor the order of selection given

Next

`\begin{gathered} n=135 \\ r=2 \end{gathered}`
`^(135)C_2=(135*134*133!)/(2!*133!)\text{ }`

Simplifying further, we will have 9045 ways

Therefore, there are 9045 ways