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# A restaurant offers a \$10-meal that consists of exactly three food ite

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Intern
Joined: 21 Jan 2019
Posts: 4
A restaurant offers a \$10-meal that consists of exactly three food ite  [#permalink]

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28 Jun 2019, 18:12
6
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Difficulty:

95% (hard)

Question Stats:

15% (01:45) correct 85% (01:27) wrong based on 39 sessions

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A restaurant offers a \$10-meal that consists of exactly three food items out of:
Burger, Sandwich, Pizza, French Fries, Coke
If Andy has to buy either a coke or a burger, in how many ways can he select his meal?

A. 3
B. 6
C. 9
D. 10
E. 12
SVP
Joined: 03 Jun 2019
Posts: 1696
Location: India
Re: A restaurant offers a \$10-meal that consists of exactly three food ite  [#permalink]

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29 Jun 2019, 04:53
N22J wrote:
A restaurant offers a \$10-meal that consists of exactly three food items out of:
Burger, Sandwich, Pizza, French Fries, Coke
If Andy has to buy either a coke or a burger, in how many ways can he select his meal?
A. 3
B. 6
C. 9
D. 10
E. 12

Posted from my mobile device

Since Andy has to buy a coke or a burger => gives us 2 choices and we have to chose 2 out of 3 meals for \$10 meal which can be done in 3C2 = 3 ways
this gives us cases BSP, BSF, BPF, CSP, CSF, CPF. There are total 6 cases.

IMO B 6 should be correct.
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Intern
Joined: 21 Jan 2019
Posts: 4
Re: A restaurant offers a \$10-meal that consists of exactly three food ite  [#permalink]

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29 Jun 2019, 05:18
Actually you have one more choice of having both as well, so 3 more combinations

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Re: A restaurant offers a \$10-meal that consists of exactly three food ite  [#permalink]

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29 Jun 2019, 05:21
N22J wrote:
Actually you have one more choice of having both as well, so 3 more combinations

Posted from my mobile device

Andy has to buy either a coke or a burger means he can choose 1 out of the 2 not both.
Is it correct?
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Re: A restaurant offers a \$10-meal that consists of exactly three food ite  [#permalink]

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29 Jun 2019, 05:23
But the question says either or right? Which shoul mean only one out of the two right?

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Posts: 1806
Re: A restaurant offers a \$10-meal that consists of exactly three food ite  [#permalink]

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29 Jun 2019, 06:27
1
If there were no restrictions at all, he'd be able to choose 5C3 = 5*4*3/3! = 10 different meals. The only one of these meals that doesn't include a burger or a coke is {pizza, fries, sandwich}. That leaves us with 10 - 1 = 9 meals that do include a burger or a coke (or both).

As the question is worded, I would not interpret the "or" as an "exclusive or", though I agree the question should be clearer about that. If you do assume that he can only buy one of the two foods (burger or coke, but not both), the answer is 6.
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Re: A restaurant offers a \$10-meal that consists of exactly three food ite  [#permalink]

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29 Jun 2019, 07:24
N22J wrote:
A restaurant offers a \$10-meal that consists of exactly three food items out of:
Burger, Sandwich, Pizza, French Fries, Coke
If Andy has to buy either a coke or a burger, in how many ways can he select his meal?
A. 3
B. 6
C. 9
D. 10
E. 12

Posted from my mobile device

Assuming the either a coke or a burger in mean implies he can select only a burger or a coke out of the two= 2C1

Selecting remaining 2 food items out of Sandwich, Pizza, French Fries= 3C2

Therefore,number of ways in which he can select his mean=3C2*2C1= 6

Hope it helps!!
Intern
Joined: 21 Jan 2019
Posts: 4
Re: A restaurant offers a \$10-meal that consists of exactly three food ite  [#permalink]

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29 Jun 2019, 07:37
Try this to understand "Either or"

From 1 to 50, how many numbers are divisible by either 2 or 5?

Will you count 10, 20,...or not?

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Intern
Joined: 21 Jan 2019
Posts: 4
Re: A restaurant offers a \$10-meal that consists of exactly three food ite  [#permalink]

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29 Jun 2019, 07:38
Try this to understand "Either or"

From 1 to 50, how many numbers are divisible by either 2 or 5?

Will you count 10, 20,...or not?
Senior Manager
Joined: 09 Jun 2014
Posts: 352
Location: India
Concentration: General Management, Operations
Re: A restaurant offers a \$10-meal that consists of exactly three food ite  [#permalink]

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29 Jun 2019, 07:48
N22J wrote:
Try this to understand "Either or"

From 1 to 50, how many numbers are divisible by either 2 or 5?

Will you count 10, 20,...or not?

Numbers divisible by 2 = (50-2)/2 + 1 = 25
Numbers divisible by 5= (50-5)/5 + 1 = 10

Numbers divisible by both 2 and 5 =ones divisible by 10= 5

So numbers are divisible by either 2 or 5 = 25+10-5 = 30

Here either or..means div by 2 + div by 5 - Not divisible by both
Re: A restaurant offers a \$10-meal that consists of exactly three food ite   [#permalink] 29 Jun 2019, 07:48
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