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

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Founder
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An office has 6 employees. The manager must create a committ [#permalink]  01 Dec 2018, 10:52
Expert's post
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Question Stats:

88% (00:33) correct 11% (00:43) wrong based on 18 sessions
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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Director
Joined: 20 Apr 2016
Posts: 868
WE: Engineering (Energy and Utilities)
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Kudos [?]: 645 [1] , given: 142

Re: An office has 6 employees. The manager must create a committ [#permalink]  04 Dec 2018, 05:44
1
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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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Manager
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Re: An office has 6 employees. The manager must create a committ [#permalink]  18 Dec 2018, 07:15

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

Is is correct or it should be 6C2=20?
Supreme Moderator
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Re: An office has 6 employees. The manager must create a committ [#permalink]  18 Dec 2018, 07:45
1
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Expert's post
Sawant91 wrote:

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

Manager
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Re: An office has 6 employees. The manager must create a committ [#permalink]  25 Dec 2018, 15:03
1
KUDOS
Selection of 3 out of 6:
A: 6C3 = 6*5*4*3! / 3! * 3! = 20
B: 40
B is bigger than A.
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Re: An office has 6 employees. The manager must create a committ   [#permalink] 25 Dec 2018, 15:03
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