Free Practice Question
PS · Problem Solving
sub-505
Combinations
A group consists of 12 individuals. In how many distinct ways can a president, a treasurer, and a vice president be chosen from this group?
Answer Choices
Correct answer marked belowA
720
B
840
C
960
D
1080
1320
Correct
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 a president, a treasurer, and a vice president from 12 individuals, we can use the formula for permutations.…
Read the full explanation
Sign in for free to see the complete step-by-step solution to this question.
Comments
2
Sign in to join the discussion
S
shengnanJul 29, 2024
Can you explain more?
J
JasonApr 6, 2024
Great!
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
sub-505
Type
PS
Category