Correct Answer98 +98 978.98 +9.8.97-8.8.979! — (8! + 8! — 7!)9! - 229384 How manyfunctions f : {1, 2, 3, 4} → {1, 2, 3, 4} are there satisfying:a. ƒ(1) = 1 or ƒ(2) = 2 (or both)?b. ƒ(1) ‡ 1 or ƒ(2) ‡ 2 (or both)?IDc. ƒ(1) ‡ 1 and ƒ(2) ‡ 2, and ƒ is injective?->d. f is surjective, but Væ € {1, 2,...,4}, ƒ(x) ‡ x?

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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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How many functions f: {1,2,3,4} → a. ƒ(1) = 1 or ƒ(2) = 2 (or both)? → {1, 2, 3, 4} are there satisfying: b. ƒ(1) ‡ 1 or ƒ(2) ‡ 2 (or both)? c. ƒ(1) ‡ 1 and fƒ(2) ‡ 2, and ƒ is injective? d. f is surjective, but Vâ € {1, 2,...,4}, ƒ(x) ‡ x?