Last visit was: 28 Apr 2024, 13:17 It is currently 28 Apr 2024, 13:17

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.
Close
Request Expert Reply
Confirm Cancel
User avatar
Manager
Manager
Joined: 02 Jan 2007
Posts: 162
Own Kudos [?]: 39 [0]
Given Kudos: 0
Send PM
User avatar
Current Student
Joined: 22 Apr 2007
Posts: 1036
Own Kudos [?]: 30 [0]
Given Kudos: 0
Send PM
User avatar
GMAT Club Legend
GMAT Club Legend
Joined: 10 Apr 2007
Posts: 4307
Own Kudos [?]: 806 [0]
Given Kudos: 5
Location: Back in Chicago, IL
Concentration: General/Operations Management
Schools:Kellogg Alum: Class of 2010
 Q49  V42
Send PM
User avatar
Current Student
Joined: 22 Apr 2007
Posts: 1036
Own Kudos [?]: 30 [0]
Given Kudos: 0
Send PM
Re: Was revising the questions I got from my prep classes and [#permalink]
up

riverripper, can you please elaborate on your solution? And perhaps explain the question too (As it seems that I misunderstood the question)
avatar
Intern
Intern
Joined: 24 Apr 2007
Posts: 4
Own Kudos [?]: [0]
Given Kudos: 0
Send PM
Re: Was revising the questions I got from my prep classes and [#permalink]
hi all,

it says how many different ways are there to pick 2 cards from a deck and end up with two jacks. so basically the number of ways to pick 2 jacks is all that matters because it is a subset of the number of ways to pick 2 cards from 52. And since it is the number of ways, i assume that order does matter, because if you pick jack of spades first, then jack of hearts second, that's a different way compared to the alternative. Then the formula should be:

4P2 4! / (4-2)! = 12
User avatar
SVP
SVP
Joined: 07 Jul 2004
Posts: 2004
Own Kudos [?]: 1900 [0]
Given Kudos: 0
Location: Singapore
Send PM
Re: Was revising the questions I got from my prep classes and [#permalink]
There are jack of hearts, spades, diamonds and something (I can't recall, I don't play cards)

ANyway, there should be 4 jacks in a deck of cards.

The number of ways to pick 2 jacks from these 4 = 4C2.
User avatar
Current Student
Joined: 22 Apr 2007
Posts: 1036
Own Kudos [?]: 30 [0]
Given Kudos: 0
Send PM
Re: Was revising the questions I got from my prep classes and [#permalink]
I think that the way of picking a heart and spade is different from the way of picking a spade and then a heart. Point is, it should be 4P2, not 4C2 in my opinion
User avatar
SVP
SVP
Joined: 07 Jul 2004
Posts: 2004
Own Kudos [?]: 1900 [0]
Given Kudos: 0
Location: Singapore
Send PM
Re: Was revising the questions I got from my prep classes and [#permalink]
mNeo wrote:
I think that the way of picking a heart and spade is different from the way of picking a spade and then a heart. Point is, it should be 4P2, not 4C2 in my opinion


Permutation considers order you pick the card. It doesn't matter if you pick a spade first then a heart or vice versa because you still end up with a jack of spade and a jack of heart. Combination should be used.
User avatar
Current Student
Joined: 22 Apr 2007
Posts: 1036
Own Kudos [?]: 30 [0]
Given Kudos: 0
Send PM
Re: Was revising the questions I got from my prep classes and [#permalink]
I understand that. But the question is "How many different ways are there to select 2 cards"

Isn't the way of choosing heart + spades different from the way of choosing spades + heart? I know that the end result is the same, though.

ps. Look at the post by jayt696969. I think I agree with his opinion
User avatar
SVP
SVP
Joined: 07 Jul 2004
Posts: 2004
Own Kudos [?]: 1900 [0]
Given Kudos: 0
Location: Singapore
Send PM
Re: Was revising the questions I got from my prep classes and [#permalink]
mNeo wrote:
I understand that. But the question is "How many different ways are there to select 2 cards"

Isn't the way of choosing heart + spades different from the way of choosing spades + heart? I know that the end result is the same, though.

ps. Look at the post by jayt696969. I think I agree with his opinion


I don't think I agree with that statement. It's like asking how many ways to pair up jack and jane in a two people team from a pool of four people: jack, jane, john and paul. If your argument is true, then the number of ways to pair up jack and jane is 2 -> (jack,jane) and (jane,jack). We know that's not true because that's really just 1 group. Same for the cards, is there any different in (spade,heart) and (heart,spade)? It's really just 1 group.
User avatar
Manager
Manager
Joined: 28 Aug 2006
Posts: 165
Own Kudos [?]: 278 [0]
Given Kudos: 0
Send PM
Re: Was revising the questions I got from my prep classes and [#permalink]
It must be 4C2

Choosing Spade Jack+ Club Jack is same as Choosing Club Jack + Spade Jack
User avatar
Manager
Manager
Joined: 02 Jan 2007
Posts: 162
Own Kudos [?]: 39 [0]
Given Kudos: 0
Send PM
Re: Was revising the questions I got from my prep classes and [#permalink]
ywilfred wrote:
There are jack of hearts, spades, diamonds and something (I can't recall, I don't play cards)

ANyway, there should be 4 jacks in a deck of cards.

The number of ways to pick 2 jacks from these 4 = 4C2.

Great work ywilfred!
That's the OA & OE :)

I thought it would be 52C2 :(
Obviosly that 52 is just a distraction that only seems to have distracted me :P
User avatar
Manager
Manager
Joined: 02 Jan 2007
Posts: 162
Own Kudos [?]: 39 [0]
Given Kudos: 0
Send PM
Re: Was revising the questions I got from my prep classes and [#permalink]
riverripper wrote:
So for this there are 6 options. If it was 5 then there are 10. 6 would be 15...and so on.

Hope my crazy thinking doesnt confuse you.

I don't know how you did it riverripper but your solution works!
I cross-checked your results for 5 Jacks & 6 Jacks using ywilfred's method and your method worked there too! :shock:

Easy way and the right way... i got to remember that :wink:



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Problem Solving (PS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
GMAT Club Bot
Re: Was revising the questions I got from my prep classes and [#permalink]
Moderators:
Math Expert
92977 posts
Senior Moderator - Masters Forum
3137 posts

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