Combinatorics Challenge Problems
Problem 1
How many distinguishable towers consisting of blocks can be built with red blocks, pink blocks, and yellow blocks?
Answer: (420)
Problem 2
How many ways are there to seat people around the circle if of them insist on staying together?(All people are distinct)
Answer: (36)
Problem 3
When fair sided dice are rolled, what is the probability that the sum of the numbers facing up top is ?
Answer: ()