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

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

Combinatorics - Restaurant Menu!!

Expert replies
by kunalkulkarni » Mon Feb 11, 2013 8:49 am
Hi,
Most of us know how to solve the below problem:

A restaurant menu features five appetizers, six entrees, and three desserts. If a dinner special consists of one appetizer, one entree, and one dessert, how many different dinner specials are possible? (5*6*3 = 90 different ways)

I was curious to know, how to solve the same problem with a twist:
A restaurant menu features five appetizers, six entrees, and three desserts. If a dinner special consists of two appetizers, two entrees, and two desserts, how many different dinner specials are possible?

Can someone please explain me the concept for above? It will help me to create a good foundation for the combinatorics problems.

Thanks in advance,
Kunal
Join the discussion
Source: — Problem Solving |

by Brent@GMATPrepNow » Mon Feb 11, 2013 8:56 am
kunalkulkarni wrote: A restaurant menu features five appetizers, six entrees, and three desserts. If a dinner special consists of two appetizers, two entrees, and two desserts, how many different dinner specials are possible?
Take the task of "building" a meal and break it into stages.

Stage 1: Select 2 appetizers.
Since the order of the selected appetizers does not matter, we can use combinations here.
We can select 2 appetizers from 5 appetizers in 5C2 ways (10 ways).

Aside: If anyone is interested, we have a free video on calculating combinations (like 5C2) in your head: https://www.gmatprepnow.com/module/gmat-counting?id=789

Stage 2: Select 2 entrees.
Once again, the order of the selected entrees does not matter, so we can use combinations.
We can select 2 entrees from 6 entrees in 6C2 ways (15 ways).

Stage 3: Select 2 desserts.
We can select 2 desserts from 3 desserts in 3C2 ways (3 ways).

By the Fundamental Counting Principle (FCP) we can complete all 3 stages (and thus create a meal) in (10)(15)(3) ways ([spoiler]= 450 ways[/spoiler])

Cheers,
Brent

Aside: For more information about the FCP, we have a free video on the subject: https://www.gmatprepnow.com/module/gmat-counting?id=775
Brent Hanneson - Creator of GMATPrepNow.com
Image
Join the discussion

by kunalkulkarni » Mon Feb 11, 2013 9:07 am
Thank you Brent. Appreciate your quick response.
Your answer reinforced my concept and now I know, I am thinking in right direction.
I will also check out your 'aside-notes' to make the concept crystal clear.

Cheers,
Kunal
Join the discussion