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The lunch menu at a certain restaurant contains 4 different entrees and 5 different side dishes. If a meal consists of

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The lunch menu at a certain restaurant contains 4 different entrees and 5 different side dishes. If a meal consists of

by AAPL » Mon Aug 02, 2021 3:39 am

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The lunch menu at a certain restaurant contains 4 different entrees and 5 different side dishes. If a meal consists of 1 entree and 2 different side dishes, how many different meal combinations could be chosen from this menu?

A. 10
B. 20
C. 40
D. 80
E. 100

OA C
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Re: The lunch menu at a certain restaurant contains 4 different entrees and 5 different side dishes. If a meal consists

by Brent@GMATPrepNow » Mon Aug 02, 2021 6:39 am
AAPL wrote: ↑
Mon Aug 02, 2021 3:39 am
 GMAT Prep

The lunch menu at a certain restaurant contains 4 different entrees and 5 different side dishes. If a meal consists of 1 entree and 2 different side dishes, how many different meal combinations could be chosen from this menu?

A. 10
B. 20
C. 40
D. 80
E. 100

OA C
Take the task of creating a meal and break it into stages.

Stage 1: Select an entree
There are four different entrees from which to choose.
So, we can complete stage 1 in 4 ways

Stage 2: Select 2 different side dishes
Since the order in which we select the 2 side dishes does not matter, we can use combinations.
We can select 2 side dishes from 5 side dishes in 5C2 ways = (5)(4)/(2)(1) = 10
So we can complete stage 2 in 10 ways

By the Fundamental Counting Principle (FCP), we can complete the 2 stages (and thus create a meal) in (4)(10) ways (= 40 ways)

Answer: C

Note: the FCP can be used to solve the MAJORITY of counting questions on the GMAT. For more information about the FCP, watch this video: https://www.gmatprepnow.com/module/gmat- ... /video/775

You can also watch a demonstration of the FCP in action: https://www.gmatprepnow.com/module/gmat ... /video/776

Then you can try solving the following questions:

EASY
- https://www.beatthegmat.com/what-should- ... 67256.html
- https://www.beatthegmat.com/counting-pro ... 44302.html
- https://www.beatthegmat.com/picking-a-5- ... 73110.html
- https://www.beatthegmat.com/permutation- ... 57412.html
- https://www.beatthegmat.com/simple-one-t270061.html


MEDIUM
- https://www.beatthegmat.com/combinatoric ... 73194.html
- https://www.beatthegmat.com/arabian-hors ... 50703.html
- https://www.beatthegmat.com/sub-sets-pro ... 73337.html
- https://www.beatthegmat.com/combinatoric ... 73180.html
- https://www.beatthegmat.com/digits-numbers-t270127.html
- https://www.beatthegmat.com/doubt-on-sep ... 71047.html
- https://www.beatthegmat.com/combinatoric ... 67079.html


DIFFICULT
- https://www.beatthegmat.com/wonderful-p- ... 71001.html
- https://www.beatthegmat.com/permutation- ... 73915.html
- https://www.beatthegmat.com/permutation-t122873.html
- https://www.beatthegmat.com/no-two-ladie ... 75661.html
- https://www.beatthegmat.com/combinations-t123249.html


Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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