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1. Let S = {1, 2, 3, 4, 5} and T = {a, b, c, d). For each question below: if the answer is YES, give an example; if the answer if NO, explain briefly. (a) Are there any one-to-one functions from S into T? (b) Are there any one-to-one functions from T into S? (c) Are there any functions mapping S onto T?

1. Let S = {1, 2, 3, 4, 5} and T = {a, b, c, d). For each question below: if the answer is YES, give an example; if the answer if NO, explain briefly. (a) Are there any one-to-one functions from S into T? (b) Are there any one-to-one functions from T into S? (c) Are there any functions mapping S onto T?

Advanced Engineering Mathematics
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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1. Let S = {1, 2, 3, 4, 5} and T = {a, b, c, d). For each question below: if the answer is YES, give an example; if the answer if NO, explain briefly. (a) Are there any one-to-one functions from S into T? (b) Are there any one-to-one functions from Tinto S? (c) Are there any functions mapping S onto T? (d) Are there any functions mapping 7 onto S? (e) Are there any one-to-one correspondences between S and T?
Transcribed Image Text:1. Let S = {1, 2, 3, 4, 5} and T = {a, b, c, d). For each question below: if the answer is YES, give an example; if the answer if NO, explain briefly. (a) Are there any one-to-one functions from S into T? (b) Are there any one-to-one functions from Tinto S? (c) Are there any functions mapping S onto T? (d) Are there any functions mapping 7 onto S? (e) Are there any one-to-one correspondences between S and T?
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