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# At a certain ice cream parlor, customers can choose among fi

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Math Expert
Joined: 02 Sep 2009
Posts: 37581
Followers: 7397

Kudos [?]: 99504 [1] , given: 11023

At a certain ice cream parlor, customers can choose among fi [#permalink]

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09 Jan 2010, 10:08
1
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Difficulty:

5% (low)

Question Stats:

86% (01:55) correct 14% (01:13) wrong based on 59 sessions

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Responding to pm.

Quote:
At a certain ice cream parlor, customers can choose among five different ice cream flavors and can choose either a sugar cone or a waffle cone. Considering both ice cream flavor and cone type, how many distinct triple-scoop cones with three different ice cream flavors are available?

A. 12
B. 16
C. 20
D. 24
E. 30

Customer can choose 3 out of 5 flavors 5C3=10;
Customer can choose 1 out of 2 cone type 2C1=2;

Total # of combinations possible 10*2=20.

Hope it's clear. The question would be harder if it were that customer can choose not only different flavors. And even more harder if customer can choose not only different flavors but less than three flavors too. You can try to solve these examples to master in combinatorics and permutation.
[Reveal] Spoiler: OA

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Joined: 10 Jul 2013
Posts: 335
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Kudos [?]: 336 [0], given: 102

At a particular ice-cream parlor, customers can choose among [#permalink]

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15 Aug 2013, 09:55
At a particular ice-cream parlor, customers can choose among five different ice-cream flavors and may choose either a sugar cone or a waffle cone. Considering both ice-cream flavor and cone type, how many distinct triple-scoop cones with three different flavors are available?

(A) 20
(B) 10
(C) 15
(D) 18
(E) 25
_________________

Asif vai.....

Director
Joined: 14 Dec 2012
Posts: 842
Location: India
Concentration: General Management, Operations
GMAT 1: 700 Q50 V34
GPA: 3.6
Followers: 60

Kudos [?]: 1343 [1] , given: 197

Re: At a particular ice-cream parlor, customers can choose among [#permalink]

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15 Aug 2013, 10:00
1
KUDOS
Asifpirlo wrote:
At a particular ice-cream parlor, customers can choose among five different ice-cream flavors and may choose either a sugar cone or a waffle cone. Considering both ice-cream flavor and cone type, how many distinct triple-scoop cones with three different flavors are available?

(A) 20
(B) 10
(C) 15
(D) 18
(E) 25

We can select 3 out of 5 flavours in $$5C3$$ ways
and can select cone in $$2C1$$ ways
hence total ways = $$5C3*2C1 =20$$
hence A
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Last edited by blueseas on 15 Aug 2013, 10:23, edited 1 time in total.
Senior Manager
Joined: 10 Jul 2013
Posts: 335
Followers: 3

Kudos [?]: 336 [0], given: 102

Re: At a particular ice-cream parlor, customers can choose among [#permalink]

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15 Aug 2013, 10:20
blueseas wrote:
Asifpirlo wrote:
At a particular ice-cream parlor, customers can choose among five different ice-cream flavors and may choose either a sugar cone or a waffle cone. Considering both ice-cream flavor and cone type, how many distinct triple-scoop cones with three different flavors are available?

(A) 20
(B) 10
(C) 15
(D) 18
(E) 25

We can select 3 out of 5 flavours in $$5C3$$ ways
and can select cone in $$2C1$$ ways
hence total ways = $$5C3*2C1 =10$$
hence A

hence total ways = 5C3*2C1 = 20
_________________

Asif vai.....

Director
Joined: 14 Dec 2012
Posts: 842
Location: India
Concentration: General Management, Operations
GMAT 1: 700 Q50 V34
GPA: 3.6
Followers: 60

Kudos [?]: 1343 [0], given: 197

Re: At a particular ice-cream parlor, customers can choose among [#permalink]

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15 Aug 2013, 10:23
Asifpirlo wrote:
blueseas wrote:
Asifpirlo wrote:
At a particular ice-cream parlor, customers can choose among five different ice-cream flavors and may choose either a sugar cone or a waffle cone. Considering both ice-cream flavor and cone type, how many distinct triple-scoop cones with three different flavors are available?

(A) 20
(B) 10
(C) 15
(D) 18
(E) 25

We can select 3 out of 5 flavours in $$5C3$$ ways
and can select cone in $$2C1$$ ways
hence total ways = $$5C3*2C1 =10$$
hence A

hence total ways = 5C3*2C1 = 20

THANKS too much TYPOS...
_________________

When you want to succeed as bad as you want to breathe ...then you will be successfull....

GIVE VALUE TO OFFICIAL QUESTIONS...

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Math Expert
Joined: 02 Sep 2009
Posts: 37581
Followers: 7397

Kudos [?]: 99504 [0], given: 11023

Re: At a particular ice-cream parlor, customers can choose among [#permalink]

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16 Aug 2013, 02:11
Asifpirlo wrote:
At a particular ice-cream parlor, customers can choose among five different ice-cream flavors and may choose either a sugar cone or a waffle cone. Considering both ice-cream flavor and cone type, how many distinct triple-scoop cones with three different flavors are available?

(A) 20
(B) 10
(C) 15
(D) 18
(E) 25

Merging similar topics.
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Re: At a particular ice-cream parlor, customers can choose among   [#permalink] 16 Aug 2013, 02:11
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