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

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X Y and Z are positive integers. How many different sets (X, [#permalink] New post 21 Nov 2007, 05:22
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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 [#permalink] New post 21 Nov 2007, 05:41
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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
  [#permalink] 21 Nov 2007, 05:41
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X Y and Z are positive integers. How many different sets (X,

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