Difference between revisions of "Combinatorics Challenge Problems"
(Created page with "==Problem 1== 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>...") |
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When <math>6</math> fair <math>6</math> sided dice are rolled, what is the probability that the sum of the numbers facing up top is <math>10</math>? | When <math>6</math> fair <math>6</math> sided dice are rolled, what is the probability that the sum of the numbers facing up top is <math>10</math>? | ||
| − | Answer: (frac{7}{2592}) | + | Answer: (<math>\frac{7}{2592}</math>) |
Revision as of 22:07, 22 April 2020
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: (
)
