A certain restaurant offers 8 different salads, 5 different main courses, 6 different desserts. If customers choose one

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A certain restaurant offers 8 different salads, 5 different main courses, 6 different desserts. If customers choose one

by BTGmoderatorDC » Fri Sep 03, 2021 6:47 pm

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A certain restaurant offers 8 different salads, 5 different main courses, 6 different desserts. If customers choose one salad, one main course and two different desserts for their meal, how many different meals are possible?

A. 120
B. 240
C. 480
D. 600
E. 1200

OA D

Source: Magoosh

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Re: A certain restaurant offers 8 different salads, 5 different main courses, 6 different desserts. If customers choose

by [email protected] » Sat Sep 04, 2021 6:22 am
BTGmoderatorDC wrote:
Fri Sep 03, 2021 6:47 pm
A certain restaurant offers 8 different salads, 5 different main courses, 6 different desserts. If customers choose one salad, one main course and two different desserts for their meal, how many different meals are possible?

A. 120
B. 240
C. 480
D. 600
E. 1200

OA D

Source: Magoosh
Take the task of creating a meal and break it into stages.

There are 8 different salads from which to choose, so we can complete stage 1 in 8 ways

Stage 2: Select 1 main course
There are 5 different main courses from which to choose, so we can complete stage 2 in 5 ways

Stage 3: Select 2 different desserts
Since the order in which we select the desserts does not matter, we can use combinations.
We can select 2 desserts from 6 desserts in 6C2 ways (15 ways)
So, we can complete stage 3 in 15 ways

By the Fundamental Counting Principle (FCP), we can complete all 3 stages (and thus create a meal) in (8)(5)(15) ways (= 600 ways)

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Re: A certain restaurant offers 8 different salads, 5 different main courses, 6 different desserts. If customers choose

by swerve » Tue Sep 07, 2021 3:23 am
BTGmoderatorDC wrote:
Fri Sep 03, 2021 6:47 pm
A certain restaurant offers 8 different salads, 5 different main courses, 6 different desserts. If customers choose one salad, one main course and two different desserts for their meal, how many different meals are possible?

A. 120
B. 240
C. 480
D. 600
E. 1200

OA D

Source: Magoosh
Let's see,

Salad can be chosen in 8C1 ways
Main Course can be chosen in 5C1 ways
Desserts can be chosen in 6C2 ways

Therefore, answer will be product which is as follows

$$8C1\ast 5C1 \ast 6C2 = 8 \ast 5 \ast 15 = 600$$

Hence, D

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