202k views
0 votes
Decide if the following problem is an example of a permutation or a combination. State your rationale. For a study, 4 people are chosen at random from a group of 10 people. How many ways can this be done?

User Balchev
by
7.8k points

2 Answers

2 votes

Answer:

C. combination - an unordered arrangement of objects

Explanation:

edge

User Fabiangebert
by
7.8k points
5 votes
The correct answer would be a combination.

A combination is a way of selecting items from a collection/group. The order of selection does not matter. More specifically, combinations refer to the combination of a group of n people (10) taken k people (4) at a time without repetition.

n = 10
k = 4
C(n, k) = n! / (k! * (n−k)!) = 10! / (4! * (10 - 4)!) = 210

The correct result for the above example would be: 210 possible ways of choosing 4 people randomly from a group of 10 people.
User Ddonche
by
8.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories