Last visit was: 21 Jul 2024, 22:20 It is currently 21 Jul 2024, 22:20
Toolkit
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

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.

# For dinner at a restaurant, there are x choices of appetizers, y + 1

SORT BY:
Tags:
Show Tags
Hide Tags
Math Expert
Joined: 02 Sep 2009
Posts: 94441
Own Kudos [?]: 642847 [9]
Given Kudos: 86716
GMAT Club Legend
Joined: 12 Sep 2015
Posts: 6804
Own Kudos [?]: 30846 [4]
Given Kudos: 799
General Discussion
SVP
Joined: 06 Nov 2014
Posts: 1793
Own Kudos [?]: 1379 [3]
Given Kudos: 23
Senior Manager
Joined: 18 Dec 2014
Posts: 354
Own Kudos [?]: 171 [1]
Given Kudos: 150
GMAT 1: 770 Q50 V45
GPA: 3.85
WE:Design (Energy and Utilities)
Re: For dinner at a restaurant, there are x choices of appetizers, y + 1 [#permalink]
1
Kudos
We have to choose 1 appetizer, 1 main course, and 1 dessert for the meal out of x choices of appetizers, y + 1 main courses, and z choices of dessert.

This can be done in xC1 . (y+1)C1 . zC1 ways = x(y+1)z = xyz + xz (Option B).
Current Student
Joined: 18 Oct 2014
Posts: 679
Own Kudos [?]: 1787 [1]
Given Kudos: 69
Location: United States
GMAT 1: 660 Q49 V31
GPA: 3.98
Re: For dinner at a restaurant, there are x choices of appetizers, y + 1 [#permalink]
1
Kudos
Bunuel wrote:
For dinner at a restaurant, there are x choices of appetizers, y + 1 main courses, and z choices of dessert. How many total possible choices are there if you choose 1 appetizer, 1 main course, and 1 dessert for your meal?

A. x + y + z + 1
B. xyz + xz
C. xy + z + 1
D. xyz + 1
E. xyz + 1/2

Possible ways to choose 1 appetizer out of x= x
Possible ways to choose 1 main course out of y+1= y+1
Possible ways to choose 1 dessert out of z= z

So possible ways to choose 1 appetizer, 1 main course, and 1 dessert:-

x (y+1) (z) = xyz+xz

GMAT Club Legend
Joined: 18 Aug 2017
Posts: 8010
Own Kudos [?]: 4250 [4]
Given Kudos: 243
Location: India
Concentration: Sustainability, Marketing
GMAT Focus 1:
545 Q79 V79 DI73
GPA: 4
WE:Marketing (Energy and Utilities)
Re: For dinner at a restaurant, there are x choices of appetizers, y + 1 [#permalink]
4
Kudos
Let X,y,z each be 2
Y;3 and X,z are both 2
Total choices of ordering one of each 2*3*2;12
Put value in option
Only b matches with 12 as (2*2*2+2*2)

Bunuel wrote:
For dinner at a restaurant, there are x choices of appetizers, y + 1 main courses, and z choices of dessert. How many total possible choices are there if you choose 1 appetizer, 1 main course, and 1 dessert for your meal?

A. x + y + z + 1
B. xyz + xz
C. xy + z + 1
D. xyz + 1
E. xyz + 1/2

Posted from my mobile device
Intern
Joined: 07 Mar 2020
Posts: 4
Own Kudos [?]: 0 [5]
Given Kudos: 1
Location: India
Re: For dinner at a restaurant, there are x choices of appetizers, y + 1 [#permalink]
5
Kudos
Choose 1 appetizer, 1 main course, and 1 dessert for the meal out of x choices of appetizers, y + 1 main courses, and z choices of dessert.

=> xC1 . (y+1)C1 . zC1 ways = x(y+1)z = xyz + xz

Hence B
Non-Human User
Joined: 09 Sep 2013
Posts: 34042
Own Kudos [?]: 853 [0]
Given Kudos: 0
Re: For dinner at a restaurant, there are x choices of appetizers, y + 1 [#permalink]
Top Contributor
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Re: For dinner at a restaurant, there are x choices of appetizers, y + 1 [#permalink]
Moderator:
Math Expert
94441 posts