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# Zachary wants to buy four ice­creams ­ one each of four different bran

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Manager
Joined: 07 Jun 2017
Posts: 176
Location: India
Concentration: Technology, General Management
GMAT 1: 660 Q46 V38
GPA: 3.6
WE: Information Technology (Computer Software)
Zachary wants to buy four ice­creams ­ one each of four different bran [#permalink]

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08 Nov 2017, 23:57
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Difficulty:

55% (hard)

Question Stats:

63% (01:00) correct 37% (01:47) wrong based on 57 sessions

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Zachary wants to buy four ice­creams ­ one each of four different brands. If each of the four brands serve three different flavors ­ chocolate, vanilla, and strawberry, how many different combinations of ice­creams can he buy, provided that he doesn’t end up buying all ice­creams of the same flavor?

A. 60
B. 78
C. 126
D. 156
E. 256
[Reveal] Spoiler: OA

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email: nkmungila@gmail.com
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Re: Zachary wants to buy four ice­creams ­ one each of four different bran [#permalink]

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09 Nov 2017, 07:49
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nkmungila wrote:
Zachary wants to buy four ice­creams ­ one each of four different brands. If each of the four brands serve three different flavors ­ chocolate, vanilla, and strawberry, how many different combinations of ice­creams can he buy, provided that he doesn’t end up buying all ice­creams of the same flavor?

A. 60
B. 78
C. 126
D. 156
E. 256

hi..

four different brands and each having 3 flavours..
total ways to choose 4 with the given restriction that one of each brand is chosen = $$3*3*3*3 = 81$$

ways in which all flavours are same = 1*1*1*1*3= 3, since there are three flavours

so answer = $$81-3=78$$

B
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Re: Zachary wants to buy four ice­creams ­ one each of four different bran   [#permalink] 09 Nov 2017, 07:49
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