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100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## Simple one :) tagged by: theCodeToGMAT ##### This topic has 4 expert replies and 6 member replies ## Simple one :) A university cafeteria offers 4 flavors of pizza - pepperoni, chicken, Hawaiian and vegetarian. If a customer has an option to add extra cheese, mushrooms, or both to any kind of pizza, how many different pizza varieties are available? a) 12 b) 16 c) 8 d) 20 c) 10 OA {B} _________________ R A H U L Legendary Member Joined 14 Aug 2013 Posted: 643 messages Followed by: 7 members Upvotes: 48 Target GMAT Score: 650+ theCodeToGMAT wrote: A university cafeteria offers 4 flavors of pizza - pepperoni, chicken, Hawaiian and vegetarian. If a customer has an option to add extra cheese, mushrooms, or both to any kind of pizza, how many different pizza varieties are available? a) 12 b) 16 c) 8 d) 20 c) 10 OA {B} Is it 16? 12 with the cheese and and stuff and the regular 4 _________________ You can, for example never foretell what any one man will do, but you can say with precision what an average number will be up to! Legendary Member Joined 14 Aug 2012 Posted: 1556 messages Followed by: 34 members Upvotes: 448 Target GMAT Score: 750 GMAT Score: 650 Yes.. correct.. _________________ R A H U L ### GMAT/MBA Expert GMAT Instructor Joined 08 Dec 2008 Posted: 13043 messages Followed by: 1251 members Upvotes: 5254 GMAT Score: 770 theCodeToGMAT wrote: A university cafeteria offers 4 flavors of pizza - pepperoni, chicken, Hawaiian and vegetarian. If a customer has an option to add extra cheese, mushrooms, or both to any kind of pizza, how many different pizza varieties are available? a) 12 b) 16 c) 8 d) 20 c) 10 Take the task of building a pizza and break it into stages. Stage 1: Choose one of the flavors There are 4 flavors of pizza (pepperoni, chicken, Hawaiian and vegetarian), so we can complete stage 1 in 4 ways Stage 2: Choose whether to add extra cheese We can either add extra cheese or not add extra cheese, so we can complete stage 2 in 2 ways. Stage 3: Choose whether to add mushrooms We can either add mushrooms or not mushrooms, so we can complete stage 3 in 2 ways. By the Fundamental Counting Principle (FCP) we can complete all 3 stages (and thus build a pizza) in (4)(2)(2) ways (= 16 ways) Cheers, Brent Aside: For more information about the FCP, watch our free video: http://www.gmatprepnow.com/module/gmat-counting?id=775 _________________ Brent Hanneson â€“ Creator of GMATPrepNow.com Use my video course along with Sign up for free Question of the Day emails And check out all of these free resources GMAT Prep Now's comprehensive video course can be used in conjunction with Beat The GMATâ€™s FREE 60-Day Study Guide and reach your target score in 2 months! ### GMAT/MBA Expert GMAT Instructor Joined 08 Dec 2008 Posted: 13043 messages Followed by: 1251 members Upvotes: 5254 GMAT Score: 770 theCodeToGMAT wrote: A university cafeteria offers 4 flavors of pizza - pepperoni, chicken, Hawaiian and vegetarian. If a customer has an option to add extra cheese, mushrooms, or both to any kind of pizza, how many different pizza varieties are available? a) 12 b) 16 c) 8 d) 20 c) 10 OA {B} Since the 5 answer choices are all relatively small, we can also consider listing all of the possible options as a viable approach. P = pepperoni C = chicken H = hawaiian V = vegetarian E = extra cheese M = mushrooms All possible pizzas - P - C - H - V - PE - CE - HE - VE - PM - CM - HM - VME - PME - CME - HME - VME Total = 16 = B Cheers, Brent _________________ Brent Hanneson â€“ Creator of GMATPrepNow.com Use my video course along with Sign up for free Question of the Day emails And check out all of these free resources GMAT Prep Now's comprehensive video course can be used in conjunction with Beat The GMATâ€™s FREE 60-Day Study Guide and reach your target score in 2 months! ### GMAT/MBA Expert Elite Legendary Member Joined 23 Jun 2013 Posted: 10197 messages Followed by: 497 members Upvotes: 2867 GMAT Score: 800 Hi All, This question is more about organization and thoroughness than math skills. The various explanations present different way to organize the work, so I'll add one more option: With 4 types of pizzas (pepperoni, chicken, Hawaiian and vegetarian) and 4 options (AS IS, extra cheese, extra mushrooms, BOTH extra cheese and mushrooms). 4 x 4 = 16 GMAT assassins aren't born, they're made, Rich _________________ Contact Rich at Rich.C@empowergmat.com Legendary Member Joined 12 May 2015 Posted: 518 messages Upvotes: 10 Test Date: 3 Oct Target GMAT Score: 750 Brent@GMATPrepNow wrote: theCodeToGMAT wrote: A university cafeteria offers 4 flavors of pizza - pepperoni, chicken, Hawaiian and vegetarian. If a customer has an option to add extra cheese, mushrooms, or both to any kind of pizza, how many different pizza varieties are available? a) 12 b) 16 c) 8 d) 20 c) 10 Take the task of building a pizza and break it into stages. Stage 1: Choose one of the flavors There are 4 flavors of pizza (pepperoni, chicken, Hawaiian and vegetarian), so we can complete stage 1 in 4 ways Stage 2: Choose whether to add extra cheese We can either add extra cheese or not add extra cheese, so we can complete stage 2 in 2 ways. Stage 3: Choose whether to add mushrooms We can either add mushrooms or not mushrooms, so we can complete stage 3 in 2 ways. By the Fundamental Counting Principle (FCP) we can complete all 3 stages (and thus build a pizza) in (4)(2)(2) ways (= 16 ways) Cheers, Brent Aside: For more information about the FCP, watch our free video: http://www.gmatprepnow.com/module/gmat-counting?id=775 Hi Brent I think Answer should be 12 since 4 flavors of pizza - pepperoni, chicken, Hawaiian and vegetarian. 3 Options -Add extra cheese, mushrooms, or both to any kind of pizza, Total Options - 4 * 3 = 12 Master | Next Rank: 500 Posts Joined 17 Oct 2010 Posted: 363 messages Followed by: 3 members Upvotes: 115 nikhilgmat31 wrote: Brent@GMATPrepNow wrote: theCodeToGMAT wrote: A university cafeteria offers 4 flavors of pizza - pepperoni, chicken, Hawaiian and vegetarian. If a customer has an option to add extra cheese, mushrooms, or both to any kind of pizza, how many different pizza varieties are available? a) 12 b) 16 c) 8 d) 20 c) 10 Take the task of building a pizza and break it into stages. Stage 1: Choose one of the flavors There are 4 flavors of pizza (pepperoni, chicken, Hawaiian and vegetarian), so we can complete stage 1 in 4 ways Stage 2: Choose whether to add extra cheese We can either add extra cheese or not add extra cheese, so we can complete stage 2 in 2 ways. Stage 3: Choose whether to add mushrooms We can either add mushrooms or not mushrooms, so we can complete stage 3 in 2 ways. By the Fundamental Counting Principle (FCP) we can complete all 3 stages (and thus build a pizza) in (4)(2)(2) ways (= 16 ways) Cheers, Brent Aside: For more information about the FCP, watch our free video: http://www.gmatprepnow.com/module/gmat-counting?id=775 Hi Brent I think Answer should be 12 since 4 flavors of pizza - pepperoni, chicken, Hawaiian and vegetarian. 3 Options -Add extra cheese, mushrooms, or both to any kind of pizza, Total Options - 4 * 3 = 12 There are actually 4 options: Add extra cheese, mushrooms, both to any kind of pizza or add no toppings (cheese or muchroom) The question states that the customer has the option to add the toppings. This means that he does not have to add any toppings Last edited by theCEO on Wed Oct 07, 2015 2:18 am; edited 1 time in total ### GMAT/MBA Expert Elite Legendary Member Joined 23 Jun 2013 Posted: 10197 messages Followed by: 497 members Upvotes: 2867 GMAT Score: 800 Hi nikhilgmat31, From the answer choices, we know that the number of total possibilities is limited, so we can 'map them' all out: 4 types of pizza and 4 options per pizza: Pepperoni - as is, extra cheese, mushrooms, BOTH cheese/mushrooms = 4 options Chicken - as is, extra cheese, mushrooms, BOTH cheese/mushrooms = 4 options Hawaiian - as is, extra cheese, mushrooms, BOTH cheese/mushrooms = 4 options Vegetarian - as is, extra cheese, mushrooms, BOTH cheese/mushrooms = 4 options Total = 4+4+4+4 = 16 varieties Final Answer: B GMAT assassins aren't born, they're made, Rich _________________ Contact Rich at Rich.C@empowergmat.com Newbie | Next Rank: 10 Posts Joined 06 Oct 2015 Posted: 3 messages vinay1983 wrote: theCodeToGMAT wrote: A university cafeteria offers 4 flavors of pizza - pepperoni, chicken, Hawaiian and vegetarian. If a customer has an option to add extra cheese, mushrooms, or both to any kind of pizza, how many different pizza varieties are available? a) 12 b) 16 c) 8 d) 20 c) 10 OA {B} Is it 16? 12 with the cheese and and stuff and the regular 4 At first glance I would say just 12.. But, you gave the right answer extremely fast and with a logic! _________________ It's not so hard to raise and train a dog as long as you know what exactly to do... A good community to read some good dog training tips where you can learn a lot. Legendary Member Joined 12 May 2015 Posted: 518 messages Upvotes: 10 Test Date: 3 Oct Target GMAT Score: 750 Thanks Rich, I missed the option of No Toppings. • Magoosh Study with Magoosh GMAT prep Available with Beat the GMAT members only code • 5 Day FREE Trial Study Smarter, Not Harder Available with Beat the GMAT members only code • FREE GMAT Exam Know how you'd score today for$0

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