I am studying at Indian Institue of Science Education and Research, Kerala, India. I am pursuing
BSMS dual degree with Mathematics as the major subject. I have taken course on Discrete
Mathematics where I learned about Logic, Quantifiers, Predicates, Nested Quantifiers, Set
Theory, Algorithm, Principle of Induction, Strong Induction, Basics of Counting, PigeonHole
Principle, Generalized Permutations and Combination, Probability Theory, Bayes Theorem and
much more. I am confident that I can handle any kind of problem in Discrete Mathematics. I have gone through the 3 problems you have attached and I am completely eligible for this task and I can assure you that you will get the best work with complete satisfaction, I hope to work with you. Let's work in harmony.