Free Practice Question
PS · Problem Solving
555-605
Combinations
A company has 20 equally qualified candidates for 5 available positions. How many unique groups of 5 candidates can the company select to fill these positions if the order of selection is irrelevant?
Answer Choices
Correct answer marked belowA
20
B
100
C
300
15,504
Correct
E
38,760
See the full step-by-step explanation
You can see the correct answer above. Sign in for free to unlock the complete worked solution.
Track your performance and improve
Get detailed analytics, unlock full explanations, and move up difficulty tiers as you practice.
Explanation
Preview
Official Explanation
Official
To determine the number of ways to select 5 different candidates from a pool of 20, where the order does not…
Read the full explanation
Sign in for free to see the complete step-by-step solution to this question.
Comments
1
Sign in to join the discussion
P
PatrickMar 3, 2024
Thanks
What this question tests
What it tests
Whether you can count arrangements and selections correctly — permutations vs. combinations.
Common trap
Overcounting: treating a selection as ordered when order does not matter, or forgetting to divide by duplicates.
Details
Difficulty
555-605
Type
PS
Category