BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

Target Test Prep · GMAT

Choose how you want to prepare

Learn live with an expert or move at your own pace. Every option includes the complete TTP study system.

★★★★★5.0559 reviews
Vote for Target Test Prep, Newsweek Readers’ Choice Awards 2026
NEWSWEEK READERS’ CHOICE 2026

BIG NEWS! Target Test Prep has been nominated, and they’d love your vote!

TTP has worked incredibly hard to build the best test prep experience possible, and winning Newsweek’s 2026 Readers’ Choice Award for Best Test Prep would mean a lot to them. If TTP has helped you, they’d be incredibly grateful for your vote. You can vote once each day through September 9.

Vote for TTP
GMATLiveTeach 7 seats left
Chris Peckover
NEXT LIVE COHORT

Oct 13 to Jan 7, 2027

with Chris Peckover

Schedule
Tue, Thu · 8:00 to 10:00 PM ET
Included
40 live hours + 6 months of GMAT OnDemand
  • Live instruction and real-time questions
  • Class recordings and assigned practice
View class & enroll
Limited cohort · enrollment openTarget Test Prep
EALiveTeach 5 seats left
Logan Thompson
EXECUTIVE ASSESSMENT

Sep 6 to Dec 6, 2026

with Logan Thompson

Schedule
Sun · 9:30 AM to 12:30 PM ET
Included
40 hours of live online classes plus six months of access to the complete TTP EA OnDemand course.
  • 165+ EA Score Guarantee
  • 4,100+ Quant, Verbal, and Integrated Reasoning practice questions
  • 400+ hours of in-depth video lessons
  • 3,000+ step-by-step video solutions
View EA class & enroll
Limited cohort · enrollment openTarget Test Prep
GMATOnDemand Start anytime
SELF-PACED MASTERCLASS

Target Test Prep GMAT OnDemand

Complete access from day one. Study on your schedule.

715+ score guarantee
$0to start then $127/mo
  • Personalized study plan and analytics
  • Thousands of lessons and practice questions
Start free 5-day trial
Read 559 reviewsTarget Test Prep

Compare the format, schedule, and included access before enrolling. Prices and seat counts shown reflect the supplied offer details.

Sets - counting subsets

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
Senior | Next Rank: 100 Posts
Posts: 43
Joined: Fri Feb 22, 2013 10:41 pm
Thanked: 3 times
by snigdha1605 » Mon Jul 29, 2013 4:10 am
How many different subsets of the set {0, 1, 2, 3, 4, 5} do not contain 0?

16
27
31
32
64

OA- 32

[spoiler]Can someone help me with the below logic -
Total sets without 0 =
5 (Individual sets of 1 number each - {1},{2}, etc)
5C2 (Sets of 2 numbers each)
5C3 (sets of 3 numbers each)
5C4 (sets of 4 numbers each)
5C5 (Set of 5 numbers)

= 5+10+10+5+1 = 31

(which set am i missing?)

[/spoiler][/spoiler]
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Problem Solving |
User avatar
GMAT Instructor
Posts: 15539
Joined: Tue May 25, 2010 12:04 pmFollowed by: 1906 members
Location: New York, NY
Thanked: 13060 times
GMAT Score:790

by GMATGuruNY » Mon Jul 29, 2013 4:58 am
snigdha1605 wrote:How many different subsets of the set {0, 1, 2, 3, 4, 5} do not contain 0?

16
27
31
32
64

OA- 32
Any of the following values may be included in a subset:
1, 2, 3, 4, 5
For each of these values, there are 2 options: TO INCLUDE the value or NOT TO INCLUDE the value.
Since there are 5 values, and 2 options for each value, the total number of possible subsets = 2*2*2*2*2 = 32.

The correct answer is D.

The 32 options above include the EMPTY SET: the case in which NONE of the 5 values is selected.
The EMPTY SET is considered a subset of EVERY SET.
This concept is beyond the scope of the GMAT, so please feel free to ignore this problem.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.

As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.

For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Senior | Next Rank: 100 Posts
Posts: 43
Joined: Fri Feb 22, 2013 10:41 pm
Thanked: 3 times

by snigdha1605 » Mon Jul 29, 2013 5:20 am
Thanks Mitch!
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 16207
Joined: Mon Dec 08, 2008 6:26 pmFollowed by: 1268 members
Location: Vancouver, BC
Thanked: 5254 times
GMAT Score:770

by Brent@GMATPrepNow » Mon Jul 29, 2013 5:54 am
Hi snigdha1605,

I thought I'd point out that your approach of adding 5C1 + 5C2 + 5C3 etc would have worked (except you missed 5C0). Once you get to the point where you are adding all possible combinations, you can use a nice rule that says:
nC0 + nC1 + nC2 + . . . . nCn = 2^n
So, for example, 5C0 + 5C1 + 5C2 + 5C3 + 5C4 + 5C5 = 2^5
Similarly, 7C0 + 7C1 + 7C2 + . . . 7C6 + 7C7 = 2^7

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
Image
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Newbie | Next Rank: 10 Posts
Posts: 1
Joined: Thu Oct 31, 2013 11:13 pm

by amey90 » Fri May 30, 2014 3:03 am
@Brent, what doe 5C0 signify here?

5C5 means you select 5 nos from 5 or 5C1 means you select 1 no. from 5 nos.
wouldn't 5C0 would just mean a blank set?

Thanks.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 16207
Joined: Mon Dec 08, 2008 6:26 pmFollowed by: 1268 members
Location: Vancouver, BC
Thanked: 5254 times
GMAT Score:770

by Brent@GMATPrepNow » Fri May 30, 2014 7:27 am
amey90 wrote:@Brent, what doe 5C0 signify here?

5C5 means you select 5 nos from 5 or 5C1 means you select 1 no. from 5 nos.
wouldn't 5C0 would just mean a blank set?

Thanks.
5C0 represents the number of ways we can select 0 objects from a set of 5 objects. There is 1 way to accomplish this. In other words, 5C0 = 1

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
Image
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1