Free Practice Question
PS · Problem Solving
sub-505
Combinations
A group of 6 penguins swims in a line, with 4 females leading and 2 males following. How many distinct ways can the penguins arrange themselves?
Answer Choices
Correct answer marked below48
Correct
B
24
C
32
D
16
E
64
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Explanation
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Official Explanation
Official
In this scenario, there are 4 females at the front who can be arranged in 4! different ways, and 2 males at the back who can also be…
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Comments
2
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J
JillianMar 8, 2025
Thankss
N
NikhilNov 28, 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
sub-505
Type
PS
Category