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X Y and Z are positive integers. How many different sets (X,

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CEO
Joined: 21 Jan 2007
Posts: 2747
Location: New York City
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Kudos [?]: 940 [0], given: 4

X Y and Z are positive integers. How many different sets (X, [#permalink]

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21 Nov 2007, 06:22
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X Y and Z are positive integers. How many different sets (X, Y, Z) are possible so that X + Y + Z = 5?

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CEO
Joined: 17 Nov 2007
Posts: 3586
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
Followers: 574

Kudos [?]: 3976 [0], given: 360

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21 Nov 2007, 06:41
D

X,Y,Z >0

X+Y+Z=5 ==> X=5-(Y+Z)<4

X,Y,Z e {1,2,3}

for x=3: y=1,z=1 (1)
for x=2: y=1,z=2; y=2,z=1; (2)
for x=1: y=1,z=3; y=2,z=2; y=3,z=1; (3)

6 sets
21 Nov 2007, 06:41
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