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Problem Solving (PS) | For x>10, y is the product of the first x positive odd integers and z

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Bunuel wrote:

For x>10, y is the product of the first x positive odd integers and z is the sum of the first x positive odd integers. The difference y−z must be:

A. Even
B. Odd
C. Negative
D. Even only when x is even
E. Odd only when x is even


- Let say Y=11*13*15*17*... and y is a set of x numbers,
- Let say Z=11+13+15+17+... and z is a set of x numbers,

Y-Z ?
- Y must be ODD, because no EVEN integer involved.
- Z can be ODD, if X is ODD. For example, if X=3->11+13+15=ODD
- Z can be EVEN, if X is
...

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