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: ()