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At Flo’s Pancake House, pancakes can be ordered with any of six possib 29 Oct 2018, 22:13
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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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A
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At Flo’s Pancake House, pancakes can be ordered with any of six possib 30 Oct 2018, 00:44
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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

three toppigns: 6C3=20 option A
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At Flo’s Pancake House, pancakes can be ordered with any of six possib 20 Nov 2018, 18:13
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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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At Flo’s Pancake House, pancakes can be ordered with any of six possib 20 Nov 2018, 23:19
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Archit3110
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
Show more


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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At Flo’s Pancake House, pancakes can be ordered with any of six possib Updated on: 20 Oct 2022, 05:10
Originally posted by KarishmaB on 21 Nov 2018, 01:27.
Last edited by KarishmaB on 20 Oct 2022, 05:10, edited 1 time in total.
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Ananya1919
Archit3110
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.
Show more

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.
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At Flo’s Pancake House, pancakes can be ordered with any of six possib 07 Jul 2019, 22:10
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VeritasKarishma
Ananya1919
Archit3110
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.gmatclub.com/forum/veritas-prep-resource-links-no-longer-available-399979.html#/2011/1 ... binations/
Show more


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.
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At Flo’s Pancake House, pancakes can be ordered with any of six possib 21 Jun 2021, 23:17
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