Free Practice Question
PS · Problem Solving
sub-505
Combinations
Samantha is organizing a journey from Town X to Town Z, and she will travel through both Town Y and Town W. If there are three different paths she can take from X to Y, four paths from Y to W, and three paths from W to Z, how many distinct routes can she take from X to Z?
Answer Choices
Correct answer marked below36
Correct
B
24
C
12
D
18
E
9
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Explanation
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Official Explanation
Official
To determine the total number of routes available, you multiply the number of choices at each segment of the journey. Here, Samantha has 3…
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Comments
2
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S
SanjayJan 25, 2025
Can you explain more?
S
SuhaniApr 24, 2024
Thank for sharing!
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