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A company seeks to hire a sales manager, a shipping clerk, and a recep

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A company seeks to hire a sales manager, a shipping clerk, and a recep  [#permalink]

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New post 08 Dec 2014, 06:21
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A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

82% (01:00) correct 18% (01:13) wrong based on 113 sessions

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Tough and Tricky questions: Combinations.



A company seeks to hire a sales manager, a shipping clerk, and a receptionist. The company has narrowed its candidate search and plans to interview all remaining candidates including 7 persons for the position of sales manager, 4 persons for the position of shipping clerk, and 10 persons for the position of receptionist. How many different hirings of these three people are possible?

A) 7 + 4 + 10
B) 7 × 4 × 10
C) 21 × 20 × 19
D) 7! + 4! + 10!
E) 7! × 4! × 10!

Kudos for a correct solution.

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Re: A company seeks to hire a sales manager, a shipping clerk, and a recep  [#permalink]

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New post 08 Dec 2014, 09:56
1
A company seeks to hire a sales manager, a shipping clerk, and a receptionist. The company has narrowed its candidate search and plans to interview all remaining candidates including 7 persons for the position of sales manager, 4 persons for the position of shipping clerk, and 10 persons for the position of receptionist. How many different hirings of these three people are possible?

A) 7 + 4 + 10
B) 7 × 4 × 10
C) 21 × 20 × 19
D) 7! + 4! + 10!
E) 7! × 4! × 10!


Number of ways one person can be hired for the position of Sales Manager= \(C^7_1\)=7

Number of ways one person can be hired for the position of Shipping Clerk= \(C^4_1\)=4

Number of ways one person can be hired for the position of Receptionist= \(C^{10}_1\)=10

Therefore total number of different hiring possible for the three positions = 7 * 4 * 10

Answer: B
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Re: A company seeks to hire a sales manager, a shipping clerk, and a recep  [#permalink]

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New post 08 Dec 2014, 10:27
1
7C1 * 4C1 * 10C1 = 7*4*10
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Re: A company seeks to hire a sales manager, a shipping clerk, and a recep  [#permalink]

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New post 08 Dec 2014, 22:16
1
1 sales manager can be selected out of 7 in 7 ways
1 clerk can be selected out of 4 in 4 ways
1 receptionist can be selected out of 10 in 10 ways

total no. of ways these 3 can be selected = 7 *4 * 10

Ans. B) 7 × 4 × 10
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Re: A company seeks to hire a sales manager, a shipping clerk, and a recep  [#permalink]

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New post 09 Dec 2014, 06:45
Bunuel wrote:

Tough and Tricky questions: Combinations.



A company seeks to hire a sales manager, a shipping clerk, and a receptionist. The company has narrowed its candidate search and plans to interview all remaining candidates including 7 persons for the position of sales manager, 4 persons for the position of shipping clerk, and 10 persons for the position of receptionist. How many different hirings of these three people are possible?

A) 7 + 4 + 10
B) 7 × 4 × 10
C) 21 × 20 × 19
D) 7! + 4! + 10!
E) 7! × 4! × 10!

Kudos for a correct solution.

Source: Chili Hot GMAT


The correct answer is B.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

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Re: A company seeks to hire a sales manager, a shipping clerk, and a recep  [#permalink]

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New post 29 Jun 2017, 15:15
A company seeks to hire a sales manager, a shipping clerk, and a receptionist. The company has narrowed its candidate search and plans to interview all remaining candidates including 7 persons for the position of sales manager, 4 persons for the position of shipping clerk, and 10 persons for the position of receptionist. How many different hirings of these three people are possible?

\(= 7C1 * 4C1 * 10C1\)

\(= 7 * 4 * 10\)

Hence, Answer is B
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Re: A company seeks to hire a sales manager, a shipping clerk, and a recep &nbs [#permalink] 29 Jun 2017, 15:15
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