It is currently 17 Dec 2017, 06:04

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

Amanda goes to the toy store to buy 1 ball and 3 different board games

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 42648

Kudos [?]: 135946 [0], given: 12716

Amanda goes to the toy store to buy 1 ball and 3 different board games [#permalink]

Show Tags

New post 27 Dec 2015, 07:48
Expert's post
2
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

93% (00:49) correct 7% (01:03) wrong based on 95 sessions

HideShow timer Statistics

Amanda goes to the toy store to buy 1 ball and 3 different board games. If the toy store is stocked with 3 types of balls and 6 types of board games, how many different selections of the 4 items can Amanda make?

A. 9
B. 12
C. 14
D. 15
E. 60
[Reveal] Spoiler: OA

_________________

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

Kudos [?]: 135946 [0], given: 12716

Senior Manager
Senior Manager
User avatar
Joined: 28 Feb 2014
Posts: 295

Kudos [?]: 145 [0], given: 133

Location: United States
Concentration: Strategy, General Management
Reviews Badge
Re: Amanda goes to the toy store to buy 1 ball and 3 different board games [#permalink]

Show Tags

New post 30 Dec 2015, 17:10
Amanda goes to the toy store to buy 1 ball and 3 different board games. If the toy store is stocked with 3 types of balls and 6 types of board games, how many different selections of the 4 items can Amanda make?


3! / 1!2! * 6! / 3!3!
=3*20=60

E. 60

Kudos [?]: 145 [0], given: 133

Expert Post
EMPOWERgmat Instructor
User avatar
P
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 10419

Kudos [?]: 3700 [0], given: 173

Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: 340 Q170 V170
Re: Amanda goes to the toy store to buy 1 ball and 3 different board games [#permalink]

Show Tags

New post 02 Jan 2016, 18:23
Hi All,

The answer choices to this question provide an interesting 'shortcut' that you can use to avoid some of the math involved.

We're told that Amanda is going to buy 3 different board games (from a total of 6 different possible games). Since the order of the games does NOT matter, we're dealing with a Combination Formula calculation:

Combinations = N!/K!(N-K)! where N is the total number of items and K is the size of the subgroup.

N = 6 and K = 3

6!/3!(6-3)! = (6)(5)(4)(3)(2)(1)/(3)(2)(1)(3)(2)(1) = (6)(5)(4)/(3)(2)(1) = 20 different combinations of 3 games.

Since we already have 20 different options, including a ball will only INCREASE the number of possibilities. There's only one answer that fits...

Final Answer:
[Reveal] Spoiler:
E


GMAT assassins aren't born, they're made,
Rich
_________________

760+: Learn What GMAT Assassins Do to Score at the Highest Levels
Contact Rich at: Rich.C@empowergmat.com

Rich Cohen

Co-Founder & GMAT Assassin

Special Offer: Save $75 + GMAT Club Tests Free
  Official GMAT Exam Packs + 70 Pt. Improvement Guarantee
www.empowergmat.com/

***********************Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!***********************

Kudos [?]: 3700 [0], given: 173

SVP
SVP
User avatar
B
Joined: 06 Nov 2014
Posts: 1903

Kudos [?]: 552 [0], given: 23

Re: Amanda goes to the toy store to buy 1 ball and 3 different board games [#permalink]

Show Tags

New post 02 Jan 2016, 22:33
Bunuel wrote:
Amanda goes to the toy store to buy 1 ball and 3 different board games. If the toy store is stocked with 3 types of balls and 6 types of board games, how many different selections of the 4 items can Amanda make?

A. 9
B. 12
C. 14
D. 15
E. 60


This is a simple question that tests your concepts about combinations.

We need to select 1 ball out of 3 available and 3 board games out of 6 available.
This can be done in 3C1*6C3 ways = 3*\(\frac{{6!}}{{3!*3!}}\) = 3*20 = 60

Option E

Kudos [?]: 552 [0], given: 23

Manager
Manager
avatar
Joined: 25 Dec 2012
Posts: 134

Kudos [?]: 35 [0], given: 148

Re: Amanda goes to the toy store to buy 1 ball and 3 different board games [#permalink]

Show Tags

New post 03 Jan 2016, 02:24
Pretty Straight.

Choose 1 ball from 3 - 3C1 = 3/1 = 3
Choose 3 board games from 6 - 6C3 = (6*5*4)/(1*2*3)= 20

Total number of ways the selection can happen is = 3 * 20 = 60

Kudos [?]: 35 [0], given: 148

Director
Director
User avatar
S
Joined: 24 Nov 2015
Posts: 585

Kudos [?]: 40 [0], given: 231

Location: United States (LA)
Reviews Badge CAT Tests
Re: Amanda goes to the toy store to buy 1 ball and 3 different board games [#permalink]

Show Tags

New post 02 Apr 2016, 01:19
3C1*6C3=3*20 = 60

Correct answer - E

Kudos [?]: 40 [0], given: 231

Intern
Intern
avatar
Joined: 22 Mar 2017
Posts: 4

Kudos [?]: 0 [0], given: 5

Re: Amanda goes to the toy store to buy 1 ball and 3 different board games [#permalink]

Show Tags

New post 26 Oct 2017, 04:44
I do not get logic. The explaination in the Kaplan book doesn't tell clearly why you multiply 3*20 and why you use the combination formula.
can someone explain why you multiply 3*20 and why you use combination insteat of permutation?

Kudos [?]: 0 [0], given: 5

Expert Post
Target Test Prep Representative
User avatar
S
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 1810

Kudos [?]: 990 [0], given: 5

Re: Amanda goes to the toy store to buy 1 ball and 3 different board games [#permalink]

Show Tags

New post 30 Oct 2017, 12:52
Bunuel wrote:
Amanda goes to the toy store to buy 1 ball and 3 different board games. If the toy store is stocked with 3 types of balls and 6 types of board games, how many different selections of the 4 items can Amanda make?

A. 9
B. 12
C. 14
D. 15
E. 60


Amanda can select a ball in 3C1 = 3 ways and she can selected a board game in 6C3 = 6!/[3!(6-3)!] = (6 x 5 x 4)/3! = (6 x 5 x 4)/(3 x 2 x 1) = 20. So, the total number of ways is 3 x 20 = 60.

Answer: E
_________________

Jeffery Miller
Head of GMAT Instruction

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Kudos [?]: 990 [0], given: 5

Re: Amanda goes to the toy store to buy 1 ball and 3 different board games   [#permalink] 30 Oct 2017, 12:52
Display posts from previous: Sort by

Amanda goes to the toy store to buy 1 ball and 3 different board games

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.