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

Redeem
TTP OnDemand GMAT Video Course
Featured Course

Target Test Prep GMAT OnDemand

Scott Woodbury-Stewart’s private virtual classroom — 400 hours of master-class video lessons for the GMAT Focus Edition.

  • 715+ score guarantee — highest in the industry (99th percentile)
  • 52 chapters · 1,500+ lessons · 4,000+ practice questions
  • 400 hours of video · 1,500+ instructor-led HD smartboard lessons
  • 300,000+ students accepted to Harvard, Stanford, Wharton, Booth & Sloan & more
  • 24/7 live support + weekly Zoom office hours with GMAT instructors
  • TTP AI Assist — 24/7 AI-powered virtual tutor for instant help
  • 1,200+ flashcards + AI-powered study assistant & daily calendar
  • OnDemand, LiveTeach & GMAT Bootcamp formats available
  • Also: GRE, SAT Math & Executive Assessment courses
  • MBA Admissions Consulting now available
  • 🏆 2025 EdTech Breakthrough Award: Test Prep Solution Provider of the Year
  • 200,000+ students served
  • 5-day free trial — $0 to start, no auto-billing, cancel anytime
★★★★★ 5.0 (559 reviews)
130-pt guarantee
$0 to start then $127/mo
Start Free 5-Day Trial Read 559 Reviews →

P & C Problem

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
Junior | Next Rank: 30 Posts
Posts: 14
Joined: Tue Jun 08, 2010 1:19 pm
by agni_h1 » Fri Aug 20, 2010 7:18 am
Q.A teacher prepares a test.She gives 5 objective type qs ot of which 4 need 2b answered.Find the total ways in which it can be answered if first 2 qs have 3 choices and last 3 have 4 choices.

a.255
b.816
c.192
d.100
e.194

Ans:B

I am getting 1680.Please help
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Problem Solving |
User avatar
Master | Next Rank: 500 Posts
Posts: 324
Joined: Mon Jul 05, 2010 6:44 amFollowed by: 3 members
Location: London
Thanked: 70 times

by kmittal82 » Fri Aug 20, 2010 8:02 am
Good question

Lets say the questions are a b c d e

case 1:

You select a and b, and 2 out of c d e

Total number of ways of selecting 2 out of cde = 3c2 = 3

Total number of ways of answering questions in this = 3 x 3 x 4 x 4 x 4 x 3 = 432

The 3 is in bold because that's the possible combinations of picking 2 questions out of c d and e

case 2:

You select c d e, and 1 out of a or b

Total number of ways of answering = 4 x 4 x 4 x 3 x 2 = 384

The 2 is in bold because that's the possible combinations of picking 1 question from a and b

Thus, total ways = case1 + case 2 = 432 + 384 = 816
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
GMAT Instructor
Posts: 3225
Joined: Tue Jan 08, 2008 2:40 pmFollowed by: 614 members
Location: Toronto
Thanked: 1710 times
GMAT Score:800

by Stuart@KaplanGMAT » Fri Aug 20, 2010 10:16 am
agni_h1 wrote:Q.A teacher prepares a test.She gives 5 objective type qs ot of which 4 need 2b answered.Find the total ways in which it can be answered if first 2 qs have 3 choices and last 3 have 4 choices.

a.255
b.816
c.192
d.100
e.194

Ans:B

I am getting 1680.Please help
People take a lot of time to post solutions and help others study for the GMAT. Please take the time to fully type out your questions in english.
Image

Stuart Kovinsky | Kaplan GMAT Faculty | Toronto

Kaplan Exclusive: The Official Test Day Experience | Ready to Take a Free Practice Test? | Kaplan/Beat the GMAT Member Discount
BTG100 for $100 off a full course
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Junior | Next Rank: 30 Posts
Posts: 14
Joined: Tue Jun 08, 2010 1:19 pm

by agni_h1 » Fri Aug 20, 2010 10:25 am
@kmittal:Thanks for the explanation
@Stuart: I will make sure I take my time to fully type the question next time.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Junior | Next Rank: 30 Posts
Posts: 14
Joined: Tue Jun 08, 2010 1:19 pm

by agni_h1 » Fri Aug 20, 2010 10:34 am
kmittal82 wrote:Good question

Lets say the questions are a b c d e

case 1:

You select a and b, and 2 out of c d e

Total number of ways of selecting 2 out of cde = 3c2 = 3

Total number of ways of answering questions in this = 3 x 3 x 4 x 4 x 4 x 3 = 432

The 3 is in bold because that's the possible combinations of picking 2 questions out of c d and e

case 2:

You select c d e, and 1 out of a or b

Total number of ways of answering = 4 x 4 x 4 x 3 x 2 = 384

The 2 is in bold because that's the possible combinations of picking 1 question from a and b

Thus, total ways = case1 + case 2 = 432 + 384 = 816
There was a small typo in your answer. For case 1, the the result is = 3 x 3 x 4 x 4 x 3

I was thinking in a totally different way. I was selecting 4 questions out of five and then finding the number of ways for each.Didn't work out that way.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1