GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video
close
It is currently 20 Jun 2021, 17:16
Register
GMAT Club Tests
Decision Tracker
My Rewards
New posts
New comers' posts

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.

Go to My Error Log Learn more
Close

Request Expert Reply

Confirm Cancel
How many different ways are there to draw 7 cards from a standard deck
4 posts Go to First Unread Post
Print view
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
SORT BY:
Date
Kudos
Tags:
Find Similar Topics 

Show Tags
Hide Tags

User avatar
V
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 77293
Premium Member CAT Tests Top Member of the Month
How many different ways are there to draw 7 cards from a standard deck [#permalink] New post  24 May 2021, 23:48
2
Bookmarks
Expert Reply
Attempt only this question Same topic and source Same topic and difficulty Same source and difficulty Random Chronological Reverse chronological Learn more
00:00
A
B
C
D
E

Difficulty:

45% (medium)

Question Stats:

57% (01:30) correct 43% (01:41) wrong based on 37 sessions

Hide Show timer Statistics

How many different ways are there to draw 7 cards from a standard deck of cards and obtain 3 jacks and 4 queens if order does not matter?

A. 3
B. 4
C. 12
D. 35
E. 5040
ShowHide Answer
Official Answer
Official Answer and Stats are available only to registered users. Register/Login.

_________________
New to the GMAT CLUB Forum?

My Signature Questions' Collection:


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics
Signature Read More
Attempt only this question Same topic and source Same topic and difficulty Same source and difficulty Random Chronological Reverse chronological Learn more
avatar
G
Nidzo
Senior Manager
Senior Manager
Joined: 26 Nov 2019
Posts: 321
GMAT ToolKit User
Re: How many different ways are there to draw 7 cards from a standard deck [#permalink] New post  25 May 2021, 00:00
Every card in a deck of cards comes in 4 suits. In this question we are asked how many different ways are there to draw 4 Queens and 3 Jacks. As all the queens will be drawn, focus only on the Jacks. How many ways can 3 Jacks be drawn from 4 Jacks. 4!/3!1! = 4

Answer B
User avatar
B
RamseyGooner
Intern
Intern
Joined: 29 Feb 2020
Posts: 43
Re: How many different ways are there to draw 7 cards from a standard deck [#permalink] New post  02 Jun 2021, 12:47
1
Bookmarks
Order does not matter, so its a combination question -

need to select 3 jacks out of available 4 AND 4 queens out of available 4

=>4C3 * 4C4
=4*1 = 4
User avatar
V
MathRevolution
Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 11256
GMAT 1: 760 Q51 V42
GPA: 3.82
Re: How many different ways are there to draw 7 cards from a standard deck [#permalink] New post  02 Jun 2021, 19:46
Expert Reply
All 4 queens can be drawn in 1 way (Taking all)

3 Jacks out of 4 can be drawn in \(^4{C_3} = 4\) ways.

Total: 1 * 4 = 4

Answer B
_________________
MathRevolution: The World's Most "Complete" GMAT Math Course!
Score an excellent Q49-51 just like 70% of our students.
[Free] Full on-demand course (7 days) - 100 hours of video lessons, 490 lesson topics, and 2,000 questions.
[Course] Starting at $79 for on-demand and $60 for tutoring per hour and $390 only for Live Online
Signature Read More
GMAT Club Bot
gmatclubot
Re: How many different ways are there to draw 7 cards from a standard deck [#permalink]
02 Jun 2021, 19:46
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
Moderators:
chetan2u
Math Expert
10015 posts
Bunuel
Math Expert
77293 posts
yashikaaggarwal
Senior Moderator - Masters Forum
2543 posts
generis
Senior SC Moderator
4818 posts

cron

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

Main navigation

GMAT Resources

Partners

MBA Resources

www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions