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 →

eaasy

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
Source: — Problem Solving |
User avatar
Legendary Member
Posts: 588
Joined: Sun Oct 16, 2011 9:42 amFollowed by: 9 members
Location: New Delhi, India
Thanked: 130 times
GMAT Score:720

by rijul007 » Fri Dec 23, 2011 11:52 am
pemdas wrote:In how many ways four fair dices, which are numbered and tossed simultaneously, have different numbers?
1st dice - can have 6 possible values
2nd dice- can have 5
3rd dice- 4
4th dice-3

So total no would be = 6*5*4*3 = 360


Or u can also think it this way-
Select 4 different nos between 1 and 6 inclusive and arrange them amongst themselves = 6P4
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Legendary Member
Posts: 1084
Joined: Fri Apr 15, 2011 2:33 pmFollowed by: 21 members
Thanked: 158 times

by pemdas » Fri Dec 23, 2011 12:16 pm
and..
Success doesn't come overnight!
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Legendary Member
Posts: 588
Joined: Sun Oct 16, 2011 9:42 amFollowed by: 9 members
Location: New Delhi, India
Thanked: 130 times
GMAT Score:720

by rijul007 » Fri Dec 23, 2011 12:44 pm
pemdas wrote:and..
The ans is 360 :o
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Legendary Member
Posts: 588
Joined: Sun Oct 16, 2011 9:42 amFollowed by: 9 members
Location: New Delhi, India
Thanked: 130 times
GMAT Score:720

by rijul007 » Fri Dec 23, 2011 12:51 pm
reply to the pm:
the dices were numbered remember
4,6,2,1 is not the same as 1,6,4,2
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Legendary Member
Posts: 1084
Joined: Fri Apr 15, 2011 2:33 pmFollowed by: 21 members
Thanked: 158 times

by pemdas » Fri Dec 23, 2011 1:05 pm
remember they tossed simultaneously
so, it's actually overcounting the number of ways by 4!
rijul007 wrote:reply to the pm:
the dices were numbered remember
4,6,2,1 is not the same as 1,6,4,2
Success doesn't come overnight!
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Legendary Member
Posts: 588
Joined: Sun Oct 16, 2011 9:42 amFollowed by: 9 members
Location: New Delhi, India
Thanked: 130 times
GMAT Score:720

by rijul007 » Fri Dec 23, 2011 1:26 pm
the dices were tossed simultaneously... True
But its also mentioned that the dices are numbered.. Making each one of them unique...
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Legendary Member
Posts: 1084
Joined: Fri Apr 15, 2011 2:33 pmFollowed by: 21 members
Thanked: 158 times

by pemdas » Fri Dec 23, 2011 1:34 pm
who says dices are unique - they are numbered 1-6
the dices are tossed at once, if you have 1-2-3-4 and 2-3-4-1 what is the difference between these two sets. Both contain the four dices with the same numbers

BTW, i made this up to puzzle and solved for 15= 6C4 or 6P4/4!
rijul007 wrote:the dices were tossed simultaneously... True
But its also mentioned that the dices are numbered.. Making each one of them unique...
Success doesn't come overnight!
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Master | Next Rank: 500 Posts
Posts: 385
Joined: Fri Sep 23, 2011 9:02 pmFollowed by: 6 members
Thanked: 62 times

by user123321 » Fri Dec 23, 2011 4:29 pm
pemdas wrote:who says dices are unique - they are numbered 1-6
the dices are tossed at once, if you have 1-2-3-4 and 2-3-4-1 what is the difference between these two sets. Both contain the four dices with the same numbers

BTW, i made this up to puzzle and solved for 15= 6C4 or 6P4/4!
rijul007 wrote:the dices were tossed simultaneously... True
But its also mentioned that the dices are numbered.. Making each one of them unique...
I thought 6P4 too :P
Nice trap. Need to be double extra careful while solving simple questions :)

user123321
Just started my preparation :D
Want to do it right the first time.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1