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# At Flo’s Pancake House, pancakes can be ordered with any of six possib

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Math Expert
Joined: 02 Sep 2009
Posts: 58454
At Flo’s Pancake House, pancakes can be ordered with any of six possib  [#permalink]

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29 Oct 2018, 22:13
00:00

Difficulty:

45% (medium)

Question Stats:

52% (00:57) correct 48% (00:47) wrong based on 143 sessions

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At Flo’s Pancake House, pancakes can be ordered with any of six possible toppings. If no toppings were repeated, how many different ways are there to order pancakes with three toppings?

A) 20

B) 40

C) 54

D) 120

E) 720

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At Flo’s Pancake House, pancakes can be ordered with any of six possib  [#permalink]

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30 Oct 2018, 00:44
At Flo’s Pancake House, pancakes can be ordered with any of six possible toppings. If no toppings were repeated, how many different ways are there to order pancakes with three toppings?

A) 20

B) 40

C) 54

D) 120

E) 720

three toppigns: 6C3=20 option A
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Joined: 29 Jul 2018
Posts: 104
Concentration: Finance, Statistics
GMAT 1: 620 Q45 V31
Re: At Flo’s Pancake House, pancakes can be ordered with any of six possib  [#permalink]

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20 Nov 2018, 18:13
here order doesnt matter
eg if you choose onion as 1st
and in other case onion as 3rd
it doesnt matter because it will still be a topping here order doesnt matter
so 6c3= 20
Intern
Joined: 11 Jan 2018
Posts: 6
Re: At Flo’s Pancake House, pancakes can be ordered with any of six possib  [#permalink]

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20 Nov 2018, 23:19
Archit3110 wrote:
At Flo’s Pancake House, pancakes can be ordered with any of six possible toppings. If no toppings were repeated, how many different ways are there to order pancakes with three toppings?

A) 20

B) 40

C) 54

D) 120

E) 720

three toppigns: 6C3=20 option A

Hi ,

And why my approach is wrong.

No. of ways to select 3 toppings: 6*5*4* 3! (as order doesnt matter and they can be arranged in 6 different ways). This is giving 720 as the answer.
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Joined: 16 Oct 2010
Posts: 9706
Location: Pune, India
Re: At Flo’s Pancake House, pancakes can be ordered with any of six possib  [#permalink]

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21 Nov 2018, 01:27
1
Ananya1919 wrote:
Archit3110 wrote:
At Flo’s Pancake House, pancakes can be ordered with any of six possible toppings. If no toppings were repeated, how many different ways are there to order pancakes with three toppings?

A) 20

B) 40

C) 54

D) 120

E) 720

three toppigns: 6C3=20 option A

Hi ,

And why my approach is wrong.

No. of ways to select 3 toppings: 6*5*4* 3! (as order doesnt matter and they can be arranged in 6 different ways). This is giving 720 as the answer.

You need to divide by 3! because order does not matter.
When you select the first topping in 6 ways, second in 5 ways and third in 3 ways, you have ordered them. So you need to un-order them for which you need to divide by 3!.

6*5*4/3! = 20

Basically, you only need to select here, not arrange.

For more on this, check out our combinations posts on our website:
https://www.veritasprep.com/blog/2011/1 ... binations/
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Karishma
Veritas Prep GMAT Instructor

Intern
Joined: 27 Nov 2017
Posts: 22
Re: At Flo’s Pancake House, pancakes can be ordered with any of six possib  [#permalink]

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07 Jul 2019, 22:10
Ananya1919 wrote:
Archit3110 wrote:
At Flo’s Pancake House, pancakes can be ordered with any of six possible toppings. If no toppings were repeated, how many different ways are there to order pancakes with three toppings?

A) 20

B) 40

C) 54

D) 120

E) 720

three toppigns: 6C3=20 option A

Hi ,

And why my approach is wrong.

No. of ways to select 3 toppings: 6*5*4* 3! (as order doesnt matter and they can be arranged in 6 different ways). This is giving 720 as the answer.

You need to divide by 3! because order does not matter.
When you select the first topping in 6 ways, second in 5 ways and third in 3 ways, you have ordered them. So you need to un-order them for which you need to divide by 3!.

6*5*4/3! = 20

Basically, you only need to select here, not arrange.

For more on this, check out our combinations posts on our website:
https://www.veritasprep.com/blog/2011/1 ... binations/

Hey Karishma,

Can you help me understand why order doesnt matter. QS says how may ways I can order Pan Cake. So for same toppings I can change their order to get a different Pan Cake.
Re: At Flo’s Pancake House, pancakes can be ordered with any of six possib   [#permalink] 07 Jul 2019, 22:10
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