- #1
xZhongCheng
- 2
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Hi, I would like to say this is a great forum I found. This is my very first post yay =)
I need help on these certain questions.
5. (10%) Given A = {1, 2, 3} and B = {a, b, c}
(a) list in two-line notation all one-to-one functions from A to B;
(b) list in two-line notation all onto functions from A to B;
(c) list in two-line notation all bijections from A to B.
6. (10%) Given two finite sets A and B such that |A| = |B|, prove or disprove that every one-to-one function from A to B is bijective.
7. (10%) Let f : A -> B and g : B -> C be bijections. Prove that
(a) g f is a bijection;
(b) (g o f)^-1 = f^-1 o g^-1
I will scan my page for 5. Numbers 6 and 7 I have no idea how to start it^-^^^^^?-
Number 5 i am having some troubles as well
I need help on these certain questions.
5. (10%) Given A = {1, 2, 3} and B = {a, b, c}
(a) list in two-line notation all one-to-one functions from A to B;
(b) list in two-line notation all onto functions from A to B;
(c) list in two-line notation all bijections from A to B.
6. (10%) Given two finite sets A and B such that |A| = |B|, prove or disprove that every one-to-one function from A to B is bijective.
7. (10%) Let f : A -> B and g : B -> C be bijections. Prove that
(a) g f is a bijection;
(b) (g o f)^-1 = f^-1 o g^-1
I will scan my page for 5. Numbers 6 and 7 I have no idea how to start it^-^^^^^?-
Number 5 i am having some troubles as well