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

Redeem

A cosmetics company would like to market a six-item gift basket bundle from a set of ten possible items. If 49 of the

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Moderator
Posts: 7187
Joined: Thu Sep 07, 2017 4:43 pm
Followed by:23 members

A cosmetics company would like to market a six-item gift basket bundle from a set of ten possible items. If 49 of the

by BTGmoderatorDC » Tue Nov 24, 2020 8:26 pm

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

A cosmetics company would like to market a six-item gift basket bundle from a set of ten possible items. If 49 of the potential bundles have already been eliminated from consideration, how many potential bundles are still being considered?

A. 147
B. 161
C. 175
D. 182
E. 210



OA B

Source: Veritas Prep
Top
Source: — Problem Solving |
Legendary Member
Posts: 2214
Joined: Fri Mar 02, 2018 2:22 pm
Followed by:5 members

Re: A cosmetics company would like to market a six-item gift basket bundle from a set of ten possible items. If 49 of th

by deloitte247 » Fri Nov 27, 2020 8:13 am
$$Total\ possible\ items=10$$
$$The\ bundle\ is\ 6\ out\ of\ 10\ items$$
$$Total\ bundles\ =\ 10C6\ =\ \frac{10!}{6!\left(10-6\right)!}$$
$$\ =\ \frac{10!}{6!\left(4\right)!}$$
$$\ =\ \frac{10\cdot9\cdot8\cdot7\cdot6\cdot5\cdot4\cdot3\cdot2\cdot1}{6\cdot5\cdot4\cdot3\cdot2\cdot1\cdot4\cdot3\cdot2\cdot1}$$
$$\ =\ \frac{10\cdot9\cdot8\cdot7}{4\cdot3\cdot2\cdot1}$$
$$\ =\ \frac{5040}{24}$$
$$Total\ bundles\ =\ 210$$
$$Bundles\ e\lim inated\ from\ considertion\ =\ 49$$
$$Potential\ bundles\ under\ consideration\ =\ 210\ -\ 49$$
$$=\ 161$$
$$Answer\ =\ B$$
Top
Legendary Member
Posts: 2499
Joined: Sun Oct 29, 2017 2:04 pm
Followed by:6 members

Re: A cosmetics company would like to market a six-item gift basket bundle from a set of ten possible items. If 49 of th

by swerve » Fri Nov 27, 2020 3:59 pm
BTGmoderatorDC wrote: ↑
Tue Nov 24, 2020 8:26 pm
 A cosmetics company would like to market a six-item gift basket bundle from a set of ten possible items. If 49 of the potential bundles have already been eliminated from consideration, how many potential bundles are still being considered?

A. 147
B. 161
C. 175
D. 182
E. 210



OA B

Source: Veritas Prep
Total selection would be \(10C6 = 210\) and order won't matter, so no arrangements required.

The question further says, \(49\) bundles eliminated.

So, \(210 - 49 = 161 \Longrightarrow\) B
Top

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 8086
Joined: Sat Apr 25, 2015 10:56 am
Location: Los Angeles, CA
Thanked: 43 times
Followed by:29 members

Re: A cosmetics company would like to market a six-item gift basket bundle from a set of ten possible items. If 49 of th

by Scott@TargetTestPrep » Mon Nov 30, 2020 9:17 am
BTGmoderatorDC wrote: ↑
Tue Nov 24, 2020 8:26 pm
 A cosmetics company would like to market a six-item gift basket bundle from a set of ten possible items. If 49 of the potential bundles have already been eliminated from consideration, how many potential bundles are still being considered?

A. 147
B. 161
C. 175
D. 182
E. 210



OA B

Solution:

We first can determine how many 6-item bundles can be created from 10 items.

10C6 = 10!/(6!4!) = (10 x 9 x 8 x 7)/(4 x 3 x 2 x 1) = 5 x 3 x 2 x 7 = 210

Since 49 bundles have been removed from consideration, 210 - 49 = 161 bundles are still being considered.

Answer: B

Scott Woodbury-Stewart
Founder and CEO
[email protected]

Image

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

ImageImage
Top
Post new topic Post Reply
• Page 1 of 1