13 of the Guests Choose Beef
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Posts: 21377
Main course: Chicken, Beef, Tofu Side dish: Rice, Salad, Sou [#permalink] 
11 Dec 2018, 13:28
00:00
Question Stats:
68% (00:45) correct 31% (00:57) wrong based on 98 sessions
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Main courses: Chicken, Beef, Tofu
Side dishes: Rice, Salad, Soup, Pasta
Desserts: Pie, Cake
A meal at a certain restaurant consists of 1 main course, 2 different side dishes, and 1 dessert.
| Quantity A | Quantity B |
| Number of different meals possible | 36 |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
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Joined: 10 Apr 2015
Posts: 6003
Re: Main course: Chicken, Beef, Tofu Side dish: Rice, Salad, Sou [#permalink] 12 Dec 2018, 13:26
Carcass wrote:
Main courses: Chicken, Beef, Tofu
Side dishes: Rice, Salad, Soup, Pasta
Desserts: Pie, Cake
A meal at a certain restaurant consists of 1 main course, 2 different side dishes, and 1 dessert.
| Quantity A | Quantity B |
| Number of different meals possible | 36 |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Take the task of creating a meal and break it into stages .
Stage 1: Select a main course
There are 3 items to choose from, so we can complete stage 1 in 3 ways
Stage 2: Select 2 side dishes
Since the order in which we select the side dishes does not matter, we can use combinations.
We can select 2 side dishes from 4 side dishes in 4C2 ways (6 ways)
So, we can complete stage 2 in 6 ways
Stage 3: Select a dessert
There are 2 desserts to choose from, so we can complete stage 3 in 2 ways
By the Fundamental Counting Principle (FCP), we can complete all 6 stages (and thus seat all 6 children) in (3)(6)(2) ways (= 36 ways)
We get:
QUANTITY A: 36
QUANTITY B: 36
Answer: C
Note: the FCP can be used to solve the MAJORITY of counting questions on the GRE. So, be sure to learn it.
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Re: Main course: Chicken, Beef, Tofu Side dish: Rice, Salad, Sou [#permalink] 02 May 2022, 10:20
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