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

Redeem

Combination

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Master | Next Rank: 500 Posts
Posts: 221
Joined: Mon Dec 22, 2008 6:24 pm
Thanked: 2 times

Combination

by mgmt_gmat » Thu Feb 11, 2010 5:30 am
53) 2 sizes of sticky pads. Each has 4 colors - Blue, Green, Yellow, and Purple. The pads are packed in packages that contain either 3 notepads of same size and same color or 3 notepads of same size and of 3 different colors. How many different packages of the types described are possible?
a. 6
b. 8
c. 16
d. 24
e. 32

OA later
Top
Source: — Problem Solving |
User avatar
Legendary Member
Posts: 1560
Joined: Tue Nov 17, 2009 2:38 am
Thanked: 137 times
Followed by:5 members

by thephoenix » Thu Feb 11, 2010 6:17 am
mgmt_gmat wrote:53) 2 sizes of sticky pads. Each has 4 colors - Blue, Green, Yellow, and Purple. The pads are packed in packages that contain either 3 notepads of same size and same color or 3 notepads of same size and of 3 different colors. How many different packages of the types described are possible?
a. 6
b. 8
c. 16
d. 24
e. 32

OA later
IMO C

3 notepads of same size and same color =2C1*4C1=8
or 3 notepads of same size and of 3 different colors=2C1*4C3=8

tot=16
Top
User avatar
Legendary Member
Posts: 1022
Joined: Mon Jul 20, 2009 11:49 pm
Location: Gandhinagar
Thanked: 41 times
Followed by:2 members

by shashank.ism » Thu Feb 11, 2010 7:27 am
mgmt_gmat wrote:53) 2 sizes of sticky pads. Each has 4 colors - Blue, Green, Yellow, and Purple. The pads are packed in packages that contain either 3 notepads of same size and same color or 3 notepads of same size and of 3 different colors. How many different packages of the types described are possible?
a. 6
b. 8
c. 16
d. 24
e. 32

OA later
This question requires the concept that we have to check for event twice, 1st against size and second against color

Now for selecting a single size out of two we have = 2 ways
For selecting same color we have = 4 ways (any of green blue yellow purple)
so total ways of selecting 3 notepads of same color and and same size = 4x2 = 8 ways

Again for selecting a single size out of two we have = 2 ways
For selecting different color we have = 4ways (gby,bpy,byp,gbp)
so total ways of selecting 3 notepads of different color and and same size = 4x2 = 8 ways

so total no. of ways = 16 [spoiler]Ans C
[/spoiler]
My Websites:
www.mba.webmaggu.com - India's social Network for MBA Aspirants

www.deal.webmaggu.com -India's online discount, coupon, free stuff informer.

www.dictionary.webmaggu.com - A compact free online dictionary with images.

Nothing is Impossible, even Impossible says I'm possible.
Top
User avatar
Community Manager
Posts: 1537
Joined: Mon Aug 10, 2009 6:10 pm
Thanked: 653 times
Followed by:252 members

by papgust » Thu Feb 11, 2010 8:18 am
Dear all,

Please don't entertain such redundant posts. The question is already discussed several times. Here are a few,

https://www.beatthegmat.com/sticky-pads-t47448.html
https://www.beatthegmat.com/sticky-pads-t40828.html

Please maintain this forum clean!
Top
Post new topic Post Reply
• Page 1 of 1