Difference between revisions of "Combinatorics Challenge Problems"
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How many distinguishable towers consisting of <math>8</math> blocks can be built with <math>2</math> red blocks, <math>4</math> pink blocks, and <math>2</math> yellow blocks? | How many distinguishable towers consisting of <math>8</math> blocks can be built with <math>2</math> red blocks, <math>4</math> pink blocks, and <math>2</math> yellow blocks? | ||
| − | Answer: (420) | + | Answer: (<math>420</math>) |
| − | |||
==Problem 2== | ==Problem 2== | ||
Revision as of 10:30, 23 April 2020
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: (
)
