Free Practice Question
PS · Problem Solving
sub-505
Combinations
In a department, there are eight men and four women. If two of these twelve employees are chosen at random to serve as representatives, what is the probability that both selected representatives will be women?
Answer Choices
Correct answer marked belowA
1/6
B
1/5
C
1/9
1/11
Correct
E
1/33
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Explanation
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Official Explanation
Official
The total number of ways to choose 2 members from 12 members is given by - this serves as the denominator. The number of ways to select 2 women from the…
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Comments
2
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S
SahilMar 11, 2024
Thanks for sharingThank you for sharing!!thanks for sharing
V
VrindaFeb 27, 2025
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