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 23:07, 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: ()