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

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At Flo’s Pancake House, pancakes can be ordered with any of [#permalink]  06 Jun 2017, 06:26
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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
[Reveal] Spoiler: OA

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Re: At Flo’s Pancake House, pancakes can be ordered with any of [#permalink]  06 Jun 2017, 15:29
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Expert's post
Carcass 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

The order in which we select the toppings does not matter, so we can use combinations.

We can select 3 toppings from 6 toppings in 6C3 ways

6C3 = (6)(5)(4)/(3)(2)(1)
= 20

[Reveal] Spoiler:
A

Cheers,
Brent
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Re: At Flo’s Pancake House, pancakes can be ordered with any of   [#permalink] 06 Jun 2017, 15:29
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