Question

Does the problem involve permutations or combinations? Do not solve. In a student government election, 7 seniors, 2 juniors, and 3 sophomores are running for election. Students elect four at-large senators. In how many ways can this be done?

A. permutations
B. combinations

Answer 1

it b)combinations............................

Answer 2

Option B - Combinations

Explanation:

Given : In a student government election, 7 seniors, 2 juniors, and 3 sophomores are running for election. Students elect four at-large senators. In how many ways can this be done

To find : Does the problem involve permutations or combinations?

Solution :

Permutation is defined as the way in which a set or number of things can be ordered or arranged.

Combination is defined as a selection of a given number of elements from a larger number without regard to their arrangement.

According to question,

In a student government election, 7 seniors, 2 juniors, and 3 sophomores are running for election and we have to select four students at large senators.

By definition of combination the problem above involve the combinations as order doesn't matter.

Therefore, The required answer is option B Combinations.