Events & Promotions
|
|
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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Sep 1712:30 AM EDT
-01:30 AM EDT
Thought your job leaves no time for GMAT prep? After multiple GMAT attempts and a demanding consulting job, Kshitij improved to 695 in under 2 months. Learn the mindset shifts, study strategy, and execution changes that made the breakthrough possible.
Sep 1801:30 AM EDT
-02:30 AM EDT
Learn how Kamakshi achieved a GMAT 675 with an impressive 96th %ile in Data Insights. Discover the unique methods and exam strategies that helped her excel in DI along with other sections for a balanced and high score.
Sep 1808:00 PM PDT
-09:00 PM PDT
Video explanations + diagnosis of 10 weakest areas + 150+ short videos + study plan!
Sep 2107:00 PM EDT
-10:00 PM EDT
Boost your GMAT score in less than one month in a live online class + 6 months access to TTP OnDemand video courses included!
27 Jun 2022, 15:15
Kudos
Bookmarks
E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
73% (02:33) correct
27%
(02:29)
wrong
based on 238
sessions
History
Date
Time
Result
Not Attempted Yet
A pizza-seller offers six kinds of toppings and two kinds of breads for its pizzas. If each pizza contains at least two kinds of toppings but not all kinds of toppings and only one kind of bread, how many different pizzas could the pizza-seller offer?
(A) 56
(B) 58
(C) 84
(D) 100
(E) 112
(A) 56
(B) 58
(C) 84
(D) 100
(E) 112
27 Jun 2022, 16:14
Kudos
Bookmarks
Sometimes in GMAT combinatorics you almost need to count the possibilities in your fingers.
Attachments
C55445F7-A921-4FE5-8479-3D0EF3C55E3D.jpeg [ 301.53 KiB | Viewed 3226 times ]
17 Feb 2026, 07:25
Kudos
Bookmarks
Toppings Calculation
There are six kinds of toppings, and each pizza must use at least two but not all six, so exactly 2 to 5 toppings.
The number of ways to choose these is = \(6C2\) + \(6C3\) + \(6C4\)+ \(6C5\) = 15 + 20 + 15 + 6 = 56.
Bread Options
Two kinds of bread are available, with exactly one per pizza, giving 2 choices.
Total Pizzas
Multiply the toppings combinations by bread choices: 56 × 2 = 112.
ANS = A
There are six kinds of toppings, and each pizza must use at least two but not all six, so exactly 2 to 5 toppings.
The number of ways to choose these is = \(6C2\) + \(6C3\) + \(6C4\)+ \(6C5\) = 15 + 20 + 15 + 6 = 56.
Bread Options
Two kinds of bread are available, with exactly one per pizza, giving 2 choices.
Total Pizzas
Multiply the toppings combinations by bread choices: 56 × 2 = 112.
ANS = A
