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# A diner makes burgers, each with 2 out of the 4 toppings

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Director
Joined: 08 Jun 2013
Posts: 556
Location: France
GMAT 1: 200 Q1 V1
GPA: 3.82
WE: Consulting (Other)
A diner makes burgers, each with 2 out of the 4 toppings  [#permalink]

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07 Sep 2018, 18:11
00:00

Difficulty:

15% (low)

Question Stats:

80% (00:34) correct 20% (00:26) wrong based on 48 sessions

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A diner makes burgers, each with 2 out of the 4 toppings the diner offers. How many possible combinations of toppings are there?

A) 6
B) 8
C) 10
D) 12
E) 14

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everything and everyone.
Never doubt, But Work on
improving yourself,
Keep the faith and
It will all make sense.

Director
Status: Learning stage
Joined: 01 Oct 2017
Posts: 958
WE: Supply Chain Management (Energy and Utilities)
Re: A diner makes burgers, each with 2 out of the 4 toppings  [#permalink]

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07 Sep 2018, 20:00
Harshgmat wrote:
A diner makes burgers, each with 2 out of the 4 toppings the diner offers. How many possible combinations of toppings are there?

A) 6
B) 8
C) 10
D) 12
E) 14

The number of ways of choosing k different items from a set of n different items: nCk

So, no possible combinations of toppings: $$4C2=\frac{4!}{2!*(4-2)!}=\frac{4!}{2!*2!}=6$$

Ans. (A)
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Re: A diner makes burgers, each with 2 out of the 4 toppings   [#permalink] 07 Sep 2018, 20:00
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