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The lunch menu at a certain restaurant contains 4 different entrees an
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16 Dec 2021, 03:12
16 Dec 2021, 03:12
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Question Stats:
90% (00:43) correct
9% (00:35) wrong based on 11 sessions
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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
(A) 10
(B) 20
(C) 40
(D) 80
(E) 100
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Re: The lunch menu at a certain restaurant contains 4 different entrees an
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16 Dec 2021, 04:38
16 Dec 2021, 04:38
1
Carcass wrote:
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
(A) 10
(B) 20
(C) 40
(D) 80
(E) 100
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
gmatclubot
Re: The lunch menu at a certain restaurant contains 4 different entrees an [#permalink]
16 Dec 2021, 04:38
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