x Question: 41 N = set of natural numbers. Let x, y = N. If x-y then x and y have the same remainder when divided by 2. Let (a, b, c) and (x, y, z) = N ³. Then (a, b, c)-(x, y, z) if a~ x, b-y, and C~ Z. How many equivalence classes does - partition N 3 into?
x Question: 41 N = set of natural numbers. Let x, y = N. If x-y then x and y have the same remainder when divided by 2. Let (a, b, c) and (x, y, z) = N ³. Then (a, b, c)-(x, y, z) if a~ x, b-y, and C~ Z. How many equivalence classes does - partition N 3 into?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Advanced Math
Pre-Assessment: Discrete Mathematics I
(GD01): PGDO
Question: 41
N = set of natural numbers.
Let x, y € N. If x-y then x and y have the
same remainder when divided by 2.
Let (a, b, c) and (x, y, z) = N ³.
Then (a, b, c)-(x, y, z) if a- x, b- y, and
C~ Z.
How many equivalence classes does
~ partition N ³ into?
ANSWERS:
A 5
XB
6
Correct answer (D): 8
C 7
D 8
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