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An office has 6 employees. The manager must create a committ

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An office has 6 employees. The manager must create a committ [#permalink] New post 01 Dec 2018, 10:52
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An office has 6 employees. The manager must create a committee consisting of 3 employees.

Quantity A
Quantity B
Number of different committees possible.
40


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
[Reveal] Spoiler: OA

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Re: An office has 6 employees. The manager must create a committ [#permalink] New post 04 Dec 2018, 05:44
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Carcass wrote:
An office has 6 employees. The manager must create a committee consisting of 3 employees.

Quantity A
Quantity B
Number of different committees possible.
40


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


Explanation:

Since the manager has to choose a committee of 3 employees from the total of 6 employees, it can be done in = 6C3 = 20

Therefore

QTY A < QTY B
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Re: An office has 6 employees. The manager must create a committ [#permalink] New post 18 Dec 2018, 07:15
Answer is B

As manager is going to select a committee, then 5C2 =10

Is is correct or it should be 6C2=20?
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Re: An office has 6 employees. The manager must create a committ [#permalink] New post 18 Dec 2018, 07:45
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Sawant91 wrote:
Answer is B

As manager is going to select a committee, then 5C2 =10

Is is correct or it should be 6C2=20?



The manager is not part of employees, so it will be 6C3
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Some useful Theory.
1. Arithmetic and Geometric progressions : https://greprepclub.com/forum/progressions-arithmetic-geometric-and-harmonic-11574.html#p27048
2. Effect of Arithmetic Operations on fraction : https://greprepclub.com/forum/effects-of-arithmetic-operations-on-fractions-11573.html?sid=d570445335a783891cd4d48a17db9825
3. Remainders : https://greprepclub.com/forum/remainders-what-you-should-know-11524.html
4. Number properties : https://greprepclub.com/forum/number-property-all-you-require-11518.html
5. Absolute Modulus and Inequalities : https://greprepclub.com/forum/absolute-modulus-a-better-understanding-11281.html

Re: An office has 6 employees. The manager must create a committ   [#permalink] 18 Dec 2018, 07:45
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