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A committee of four people is to be selected from a group consisting o
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25 Oct 2021, 05:21
25 Oct 2021, 05:21
Expert Reply
00:00
Question Stats:
76% (01:35) correct
23% (01:46) wrong based on 26 sessions
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A committee of four people is to be selected from a group consisting of five women and four men.
A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
The probability that two women and two men are on the committee |
The probability that three women and one man are on the committee |
A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the information given.
Re: A committee of four people is to be selected from a group consisting o
[#permalink]
26 Oct 2021, 20:16
26 Oct 2021, 20:16
\(4\) people to select from \(5\) women & \(4\) men
Qt A
Prob of two women & two men \(= \frac{5C2 * 4C2}{9C4} = \frac{30}{63}\)
Qt B
Prob of three women & one men \(= \frac{5C3 * 4C1}{9C4} = \frac{20}{63}\)
Qt A > Qt B
Answer A
Qt A
Prob of two women & two men \(= \frac{5C2 * 4C2}{9C4} = \frac{30}{63}\)
Qt B
Prob of three women & one men \(= \frac{5C3 * 4C1}{9C4} = \frac{20}{63}\)
Qt A > Qt B
Answer A
Re: A committee of four people is to be selected from a group consisting o
[#permalink]
24 Jul 2022, 23:23
24 Jul 2022, 23:23
1
Using probability method
QA: (4/9 × 3/8 × 5/7 × 4/6) × 4!/2!2!
QB: (5/9 × 4/8 × 3/7 × 4/6) × 4!/3!1!
QA: 6
QB: 4
Therefore A is greater
Posted from my mobile device
QA: (4/9 × 3/8 × 5/7 × 4/6) × 4!/2!2!
QB: (5/9 × 4/8 × 3/7 × 4/6) × 4!/3!1!
QA: 6
QB: 4
Therefore A is greater
Posted from my mobile device
