It is currently 24 May 2019, 15:03

### 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

# BurgerTown offers many options for customizing a burger. The

Author Message
TAGS:
GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4857
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 112

Kudos [?]: 1860 [2] , given: 397

BurgerTown offers many options for customizing a burger. The [#permalink]  30 Jul 2018, 10:44
2
KUDOS
Expert's post
00:00

Question Stats:

42% (00:42) correct 57% (01:04) wrong based on 14 sessions
BurgerTown offers many options for customizing a burger. There are 3 types of meats and 7 condiments: lettuce, tomatoes, pickles, onions, ketchup, mustard, and special sauce. A burger must include meat, but may include as many or as few condiments as the customer wants. How many different burgers are possible?

(A) $$8!$$
(B) $$(3)(7!)$$
(C) $$(3)(8!)$$
(D) $$(8)(2^7)$$
(E) $$(3)(2^7)$$
[Reveal] Spoiler: OA

_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

Intern
Joined: 21 Jun 2018
Posts: 35
Followers: 0

Kudos [?]: 6 [0], given: 11

Re: BurgerTown offers many options for customizing a burger. The [#permalink]  05 Aug 2018, 21:37
sandy wrote:
BurgerTown offers many options for customizing a burger. There are 3 types of meats and 7 condiments: lettuce, tomatoes, pickles, onions, ketchup, mustard, and special sauce. A burger must include meat, but may include as many or as few condiments as the customer wants. How many different burgers are possible?

(A) 8!
(B) (3)(7!)
(C) (3)(8!)
(D) (8)(27)
(E) (3)(27)

GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4857
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 112

Kudos [?]: 1860 [0], given: 397

Re: BurgerTown offers many options for customizing a burger. The [#permalink]  07 Aug 2018, 06:09
Expert's post
Explanation

This problem tests the fundamental counting principle, which states that the total number of choices is equal to the product of the independent choices. The key to this problem is realizing how many choices there are for each option. For the meat, there are 3 choices.

For each of the condiments there are exactly 2 choices: yes or no. The only real choice regarding each condiment is whether to include it at all. As there are 7 condiments, the total number of choices is $$(3)(2)(2)(2)(2)(2)(2)(2) = (3)(2^7)$$.

Note: the condiment options cannot be counted as 8! (0 through 7 = 8 options) because, in this case, the order in which the options are chosen does not matter; a burger with lettuce and pickles is the same as a burger with pickles and lettuce.
_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

Re: BurgerTown offers many options for customizing a burger. The   [#permalink] 07 Aug 2018, 06:09
Display posts from previous: Sort by