Combinatorics Challenge Problems
Problem 1
How many distinguishable towers consisting of 
blocks can be built with 
red blocks, 
pink blocks, and yellow blocks?
Answer: (
)
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: (
)
