Free Practice Question
PS · Problem Solving
505-555
Combinations
A group of nine friends decides to buy candies, ensuring that each person buys at least one candy. If at most 3 of them buy the same number of candies while the others buy different amounts, what is the least total number of candies they could have purchased?
Answer Choices
Correct answer marked belowA
18
B
22
C
25
D
27
30
Correct
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Comments
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T
TeddyMay 22, 2024
thankss
R
RajuanApr 25, 2025
cheers!
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
505-555
Type
PS
Category