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jcd11235

Counting is hard.

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  1. How many ways are there to arrange the letters of NAKEDSKYDIVING?


  2. How many ways can 8 people be seated at a round table?


  3. How many of the 26-letter permutations of the English alphabet have no two vowels adjacent?


  4. How many 9-element subsets of the letters of the alphabet have no pair of consecutive letters?


  5. How many ways can 6 men and 8 women be seated at a round table with no 2 men next to each other?


  6. How many ways can 9 skydivers, including Skymama and Billvon, sit in a row with Skymama and Billvon not sitting next to each other?


  7. How many full-houses are there in poker? (Only the five cards played matter.)


  8. How many ways are there for Bob to invite some of his 10 friends over for beer if at least one friend is invited?


  9. How many ways can three 10-way speed star teams be selected from 30 skydivers if every skydiver must be on exactly one team?


  10. How many ways are there to order 5 shots if 31 different liquors are available? (Repetition is allowed, but mixing liquors in a single is not.)


  11. How many ways are there to distribute 62 indistinguishable white balls and 8 distinguishable numbered balls into 10 distinguishable boxes?


  12. How many different selections can be made from 7 apples and 9 oranges if at least one piece of fruit is chosen?


  13. How many ways are there to arrange 5 males and 5 females in a row if all the males must be together and all the females must be together?


  14. How many ways are there to arrange 6 of 14 different books on a shelf?


  15. There are 5 books about beer, 7 books about sex, and 4 books about skydiving. The books are distinguishable. How many ways are there to pick 2 books not both on the same subject?


  16. How many 10 letter sequences of letters (from the English alphabet) are there with no 2 adjacent letters the same?


  17. How many arrangements of the letters of MISSISSIPPI have the first I precede the first S?


  18. How many ways are there to walk 8 blocks east and 6 blocks north, stopping at a shop that is 3 blocks east and 3 blocks north? (You must walk each block either east or north.)


  19. How many 10-element subsets of the English alphabet have at least one pair of consecutive letters?


  20. How many ways can we order 7 double dip ice cream cones from 9 available flavors if the order of the scoops doesn't matter? (Two or more identical cones can be ordered.)


  21. How many ways can 8 indistinguishable red flags, 9 indistinguishable blue flags, and 10 distinct national flags be flown on 11 distinguishable flagpoles?


  22. How many ways can three 10-way speed star teams, Team Red, Team Green, and Team Blue, be selected from 30 skydivers if each skydiver must be on exactly one team?


  23. How many ways are there to select 20 balls from 10 indistinguishable white balls, 10 indistinguishable red balls, and 10 indistinguishable green balls?

Math tutoring available. Only $6! per hour! First lesson: Factorials!

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I can answer some of them:
2. Boys on one side, girls on the other side.
8. 6 ways - call them, text them, email them, send them a letter with an invite, put something on facebook, tweet about it on twitter.
13. That's just gay, dude.
You don't have to outrun the bear.

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Someone here taking a course on probabilty?



Combinatorial Analysis, actually. I'm taking it because of its usefulness in probability, though. It's been an enjoyable course, thus far.
Math tutoring available. Only $6! per hour! First lesson: Factorials!

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Someone here taking a course on probabilty?



Combinatorial Analysis, actually. I'm taking it because of its usefulness in probability, though. It's been an enjoyable course, thus far.


I took that........ sometime around 1962.:o
...

The only sure way to survive a canopy collision is not to have one.

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