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

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

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New post 29 Oct 2018, 21:13
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Question Stats:

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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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New post 29 Oct 2018, 23:44
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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Re: At Flo’s Pancake House, pancakes can be ordered with any of six possib  [#permalink]

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New post 20 Nov 2018, 17:13
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
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Re: At Flo’s Pancake House, pancakes can be ordered with any of six possib  [#permalink]

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New post 20 Nov 2018, 22:19
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 ,

Can you please help me to understand the reasoning of your answer.

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

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New post 21 Nov 2018, 00:27
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 ,

Can you please help me to understand the reasoning of your answer.

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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Re: At Flo’s Pancake House, pancakes can be ordered with any of six possib &nbs [#permalink] 21 Nov 2018, 00:27
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