Combinatorics • English Conversation Questions

What is the difference between a combination and a permutation?
Can you explain the pigeonhole principle?
How many ways can a committee of 5 people be chosen from a group of 10?
What is the formula for the number of ways to choose k items from a set of n items (n choose k)?
What is the Principle of Inclusion-Exclusion?
What is a generating function in combinatorics?
Can you explain the concept of recursion in combinatorics?
What is the difference between a bijection and an injection?
Can you explain the concept of recurrence relations in combinatorics?
What is the difference between a derangement and a permutation?
What is the probabilistic method in combinatorics?