Jul 19 08:00 AM PDT  09:00 AM PDT The Competition Continues  Game of Timers is a teambased competition based on solving GMAT questions to win epic prizes! Starting July 1st, compete to win prep materials while studying for GMAT! Registration is Open! Ends July 26th Jul 20 07:00 AM PDT  09:00 AM PDT Attend this webinar and master GMAT SC in 10 days by learning how meaning and logic can help you tackle 700+ level SC questions with ease. Jul 21 07:00 AM PDT  09:00 AM PDT Attend this webinar to learn a structured approach to solve 700+ Number Properties question in less than 2 minutes
Author 
Message 
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 56260

Alfred, ever hungry, decides to order 4 desserts after his meal. If
[#permalink]
Show Tags
24 Jul 2017, 23:48
Question Stats:
57% (02:36) correct 43% (02:51) wrong based on 109 sessions
HideShow timer Statistics
Alfred, ever hungry, decides to order 4 desserts after his meal. If there are 7 types of pie and 8 types of ice cream from which to choose, and Alfred will have at most two types of ice cream, how many distinct groups of desserts could he consume in his postprandial frenzy? A. 588 B. 868 C. 903 D. 1806 E. 2010
Official Answer and Stats are available only to registered users. Register/ Login.
_________________



Senior PS Moderator
Joined: 26 Feb 2016
Posts: 3360
Location: India
GPA: 3.12

Re: Alfred, ever hungry, decides to order 4 desserts after his meal. If
[#permalink]
Show Tags
25 Jul 2017, 00:01
Given data: There are 7 pies and 8 icecreams to choose from. Since Alfred decides to go with at most 2 icecreams, out of the total 4 deserts. He can have 0,1 or 2 icecream. If he decides to have no ice cream :
Number of ways of choosing dessert(4 pies) : \(7c4 = \frac{7*6*5}{3*2}\) = 35 ways If he decides to have 1 ice cream :
Number of ways of choosing dessert(3 pies and 1 icecream) : \(7c3*8c1 = \frac{7*6*5}{3*2} * 8 = 270\) ways If he decides to have 2 ice cream :
Number of ways of choosing dessert(2 pies and 2 icecream) : \(7c2*8c2 = 49 * 12 = 588\) ways Total ways in which Alfred choose dessert  \(35 + 270 + 588 = 903\)(Option C)
_________________
You've got what it takes, but it will take everything you've got



Senior Manager
Joined: 28 Jun 2015
Posts: 286
Concentration: Finance
GPA: 3.5

Alfred, ever hungry, decides to order 4 desserts after his meal. If
[#permalink]
Show Tags
Updated on: 25 Jul 2017, 04:05
2 icecreams + 2 pies = 8c2 * 7c2 = 28 * 21 = 588 1 icecream + 3 pies = 8c1 * 7c3 = 8 * 35 = 280 0 icecream + 4 pies = 7c4 = 35 No. of desserts = 903. Ans  C.
_________________
I used to think the brain was the most important organ. Then I thought, look what’s telling me that.
Originally posted by TimeTraveller on 25 Jul 2017, 00:58.
Last edited by TimeTraveller on 25 Jul 2017, 04:05, edited 1 time in total.



Current Student
Joined: 18 Aug 2016
Posts: 617
Concentration: Strategy, Technology
GMAT 1: 630 Q47 V29 GMAT 2: 740 Q51 V38

Re: Alfred, ever hungry, decides to order 4 desserts after his meal. If
[#permalink]
Show Tags
25 Jul 2017, 01:43
Bunuel wrote: Alfred, ever hungry, decides to order 4 desserts after his meal. If there are 7 types of pie and 8 types of ice cream from which to choose, and Alfred will have at most two types of ice cream, how many distinct groups of desserts could he consume in his postprandial frenzy?
A. 588 B. 868 C. 903 D. 1806 E. 2010 2 ice cream 2 pie = 7C2 * 8C2 = 21*28 = 588 1 icecream 3 pie = 7C3 * 8C1 = 35 * 8 = 280 0 ice cream and 4 pie = 7C4 = 35 903 C
_________________
We must try to achieve the best within us
Thanks Luckisnoexcuse



Intern
Joined: 03 Dec 2016
Posts: 33

Re: Alfred, ever hungry, decides to order 4 desserts after his meal. If
[#permalink]
Show Tags
25 Jul 2017, 11:48
A very basic doubt here...why do we not consider that he orders 4 quantities of a single type of pie or icecream?



Senior Manager
Joined: 28 Jun 2015
Posts: 286
Concentration: Finance
GPA: 3.5

Re: Alfred, ever hungry, decides to order 4 desserts after his meal. If
[#permalink]
Show Tags
25 Jul 2017, 19:23
Novice90 wrote: A very basic doubt here...why do we not consider that he orders 4 quantities of a single type of pie or icecream? Because the question says "Alfred will have at most two types of ice cream".
_________________
I used to think the brain was the most important organ. Then I thought, look what’s telling me that.



Intern
Joined: 03 Dec 2016
Posts: 33

Re: Alfred, ever hungry, decides to order 4 desserts after his meal. If
[#permalink]
Show Tags
25 Jul 2017, 21:07
TimeTraveller wrote: Novice90 wrote: A very basic doubt here...why do we not consider that he orders 4 quantities of a single type of pie or icecream? Because the question says "Alfred will have at most two types of ice cream". Ok. But can Alfred order 4 quantities of 1 type of ice cream or he can order total 4 quantities of 2 types of ice creams? Sent from my ONE A2003 using GMAT Club Forum mobile app



Manager
Joined: 13 Apr 2017
Posts: 82
Location: India
Concentration: General Management, International Business
GPA: 3.4
WE: Engineering (Energy and Utilities)

Re: Alfred, ever hungry, decides to order 4 desserts after his meal. If
[#permalink]
Show Tags
26 Jul 2017, 23:11
Bunuel wrote: Alfred, ever hungry, decides to order 4 desserts after his meal. If there are 7 types of pie and 8 types of ice cream from which to choose, and Alfred will have at most two types of ice cream, how many distinct groups of desserts could he consume in his postprandial frenzy?
A. 588 B. 868 C. 903 D. 1806 E. 2010 Total Number of desserts should be 4. Condition > Atmost 2 Icecreams No Icecream + 4 Pies = 7C4 = 35 One IceCream + 3 Pies = 8C1*7C3 = 280 Two IceCreams + 2 Pies = 8C2*7C2 = 588 Hence total number of possibilities = 35+280+588 = 903 Answer : C



Director
Affiliations: IIT Dhanbad
Joined: 13 Mar 2017
Posts: 731
Location: India
Concentration: General Management, Entrepreneurship
GPA: 3.8
WE: Engineering (Energy and Utilities)

Re: Alfred, ever hungry, decides to order 4 desserts after his meal. If
[#permalink]
Show Tags
27 Jul 2017, 02:42
Bunuel wrote: Alfred, ever hungry, decides to order 4 desserts after his meal. If there are 7 types of pie and 8 types of ice cream from which to choose, and Alfred will have at most two types of ice cream, how many distinct groups of desserts could he consume in his postprandial frenzy?
A. 588 B. 868 C. 903 D. 1806 E. 2010 Alfred is going to order 4 desserts. There are 7 types of pie and 8 types of ice cream Also at most 2 ice creams can be ordered Case 1 : 4 pie, no icecream 7C4 *1 = 35 Case 2 : 3 pie, 1 ice cream 7C3 * 8C1 = 7*6*5/3/2/1 * 8 = 35 *8 = 280 Case 3 : 2 pie, 2 ice cream 7C2 * 8C2 = 7*6/2 * 8*7/2 = 21*28 = 588 distinct groups of desserts = 35 + 280 + 588 = 903 Answer C
_________________
CAT 2017 (98.95) & 2018 (98.91) : 99th percentiler UPSC Aspirants : Get my app UPSC Important News Reader from Play store. MBA Social Network : WebMaggu
Appreciate by Clicking +1 Kudos ( Lets be more generous friends.) What I believe is : "Nothing is Impossible, Even Impossible says I'm Possible" : "Stay Hungry, Stay Foolish".



NonHuman User
Joined: 09 Sep 2013
Posts: 11704

Re: Alfred, ever hungry, decides to order 4 desserts after his meal. If
[#permalink]
Show Tags
06 Jan 2019, 05:44
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.
_________________



NonHuman User
Joined: 09 Sep 2013
Posts: 11704

Re: Alfred, ever hungry, decides to order 4 desserts
[#permalink]
Show Tags
29 Apr 2019, 07:45
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: Alfred, ever hungry, decides to order 4 desserts
[#permalink]
29 Apr 2019, 07:45






