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I've been reviewing some old material I have bookmarked, and figured you guys might like this math problem that uses Pascal's Triangle to answer. I am kinda thrilled that I found a use for something thousands of years old that no one else saw so far. (I needed an answer to the number of permutations a computer program I was working on was capable of)
"You have a combination padlock with four dials on it. Each dial has the numbers 0 through 4 on them. The lock can have as many 0s as dials, and is set to 0000 by default. The lock does not allow you to use any number between 1 and 4 two or more times in the combination. The following combinations are valid: 0123 1234 0103 0010 4031. The following combinations are invalid: 0113 4014 0202 4444. How many possible combinations are there? "
Posted : October 9, 2013 5:14 pm
Sorry, I don't read greek
since math is apparently the language reality is expressed in, I envy your apparent understanding of the subject; but I have no clue what you are talking about 😉
Posted : October 10, 2013 1:10 pm
A 4-wheel combination lock: n=4
(1)(n+1) + (3)(n2) + (3)(n(n-1)2) + (1)(n(n-1)(n-2)2) :
5+48+108+48=209
Swan
Posted : October 10, 2013 1:53 pm
Topic starter
Heh that is correct Swan!
Posted : October 10, 2013 3:51 pm
G'Day NoOne,
Although Math and numbers are fun, my comfort zone is ...well...ummmm...Jupiter and the other characters 'out there' - thank you for the puzzle!
Swan
Posted : October 10, 2013 3:57 pm
Jupiter? Jupiter is a gluttonous gasbag! That was my asteroid!!
Posted : October 10, 2013 4:14 pm
Jupiter? Jupiter is a gluttonous gasbag! That was my asteroid!!
Aussie, Aussie, Aussie....
NASA's Juno just did a gravitational assist fly-by of Earth yesterday and is on its way now to that gorgeous planet. Expected to reach Jupiter in 2016, Juno will then study her for a year. An entire year! We'll have to ask NASA to update you on Juno's findings, because you seem to be SO wrapped up in her! LOLs.
Although she is attempting to eat one of her moons, she is not a 'glutton' - she just may be mistaking it as another asteroid to pluck from the system, that's all.
Swan
Posted : October 10, 2013 4:44 pm
...she is attempting to eat one of her moons...
I rest my case 😀 Jupiter has to go. Yup, she's gotta go.
Posted : October 10, 2013 4:49 pm
Aussie,
Listen to that beautiful song she sings. 🙂
Look at that beautiful face!
Swan
Posted : October 10, 2013 5:06 pm
