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# Chef is making a new style

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SVP
Joined: 16 Oct 2003
Posts: 1815
Followers: 4

Kudos [?]: 50 [0], given: 0

Chef is making a new style [#permalink]  11 Dec 2005, 19:09
14. Chef is making a new â€œstyleâ€
VP
Joined: 06 Jun 2004
Posts: 1059
Location: CA
Followers: 2

Kudos [?]: 47 [0], given: 0

[quote="Bhai"]14. Chef is making a new â€œstyleâ€
GMAT Club Legend
Joined: 07 Jul 2004
Posts: 5078
Location: Singapore
Followers: 22

Kudos [?]: 184 [0], given: 0

to contain:
lettuce - 2
tomato - 1
pepper - 1
sqaush - 2

to choose from:
lettuce - 8
tomato - 4
pepper - 5
squash - 4

# of ways to choose lettuce - 8C2 = 28
# of ways to choose tomato - 4C1 = 4
# of ways to choose pepper - 5C1 = 5
# of ways to choose squash - 4C2 = 6

# of ways to make salad = 28*4*5*6 = 3360
Director
Joined: 09 Oct 2005
Posts: 722
Followers: 3

Kudos [?]: 12 [0], given: 0

Bhai wrote:
14. Chef is making a new ?style? of salad, which will contain two kinds of lettuce, one kind of tomato, one kind of pepper and two kinds of squash. If Chef has 8 kinds of lettuce, 4 kinds of tomatoes, 5 types of peppers, and 4 kinds of squash from which to choose, than how many different ?styles? of salad can he make?
(A) 640
(B) 1120
(C) 2240
(D) 3360
(E) 13440

My working as follows
8ways to choose 1 kind of lettuce*7 second lettuce*4 kinds of tomatoe*5kind of pepper*4to choose 1kind of squash*3 to choose 2kind of squash
So 8*7*4*5*4*3=56*20*12=13440
Senior Manager
Joined: 05 Jan 2005
Posts: 254
Followers: 1

Kudos [?]: 4 [0], given: 0

Got - D - 3360 as explained by ywilfred the pro !
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