GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video
close
It is currently 27 Feb 2021, 08:41
Register
GMAT Club Tests
Decision Tracker
My Rewards
New posts
New comers' posts

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.

Go to My Error Log Learn more
Close

Request Expert Reply

Confirm Cancel
There are counters available in 3 different colors (at least four of
2 posts Go to First Unread Post
Print view
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
SORT BY:
Date
Kudos
Tags:
Find Similar Topics 

Show Tags
Hide Tags

User avatar
V
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 72166
CAT Tests Top Member of the Month
There are counters available in 3 different colors (at least four of [#permalink] New post  17 Feb 2021, 08:00
2
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

25% (01:22) correct 75% (01:26) wrong based on 4 sessions

Hide Show timer Statistics

There are counters available in 3 different colors (at least four of each color). Counters are all alike except for the color. If ‘m’ denotes the number of arrangements of four counters if no arrangement consists of counters of same color and ‘n’ denotes the corresponding figure when every arrangement consists of counters of each color, then:

(A) m = 2n
(B) 6m = 13n
(C) 3m = 5n
(D) 5m = 3n
(E) 5m = 7n


Are You Up For the Challenge: 700 Level Questions: 700 Level Questions
ShowHide Answer
Official Answer
Official Answer and Stats are available only to registered users. Register/Login.

_________________
New to the GMAT CLUB Forum?
Posting Rules: QUANTITATIVE | VERBAL. Guides and Resources: QUANTITATIVE | VERBAL | Ultimate GMAT Quantitative Megathread | All You Need for Quant

Questions' Banks and Collection:
PS: Standard deviation | Tough Problem Solving Questions With Solutions | Probability and Combinations Questions With Solutions | Tough and tricky exponents and roots questions | 12 Easy Pieces (or not?) | Bakers' Dozen | Algebra set | Mixed Questions | Fresh Meat
DS: DS Standard deviation | Inequalities | 700+ GMAT Data Sufficiency Questions With Explanations | Tough and tricky exponents and roots questions | The Discreet Charm of the DS | Devil's Dozen!!! | Number Properties set | New DS set
MIXED: GMAT Club's Complete Questions' Bank | SEVEN SAMURAI OF 2012 | Tricky questions from previous years. | Special Questions' Directory | Best Of The Best Of 2017 | The Best Of Quant of 2016 | 20 hardest and 20 best questions of 2015 | 15 best topics of 2015 | Seven Samurai of 2012 | GMAT Probability Questions

What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics
Signature Read More
User avatar
V
nick1816
DS Forum Moderator
Joined: 19 Oct 2018
Posts: 2243
Location: India
Re: There are counters available in 3 different colors (at least four of [#permalink] New post  17 Feb 2021, 16:11
Total possible arrangements of counters = 3^4=81

Case 1- Number of cases when the all counters consist of same color= 3

m= 81-3 = 78

Case 2- when every arrangement consists of counters of each color

If this case 2 counters have same color and other 2 have different one

Total possible arrangements, n = 3C1* 4!/2! = 36

B


Bunuel wrote:
There are counters available in 3 different colors (at least four of each color). Counters are all alike except for the color. If ‘m’ denotes the number of arrangements of four counters if no arrangement consists of counters of same color and ‘n’ denotes the corresponding figure when every arrangement consists of counters of each color, then:

(A) m = 2n
(B) 6m = 13n
(C) 3m = 5n
(D) 5m = 3n
(E) 5m = 7n


Are You Up For the Challenge: 700 Level Questions: 700 Level Questions
GMAT Club Bot
gmatclubot
[#permalink]
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
Moderators:
chetan2u
Math Expert
9498 posts
Bunuel
Math Expert
72166 posts
VeritasKarishma
Veritas Prep GMAT Instructor
11464 posts
yashikaaggarwal
Senior Moderator - Masters Forum
2411 posts
generis
Senior SC Moderator
4556 posts
Feedback

cron

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

Main navigation

GMAT Resources

Partners

MBA Resources

www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions