Path Counting Brain Teaser
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do you know path algebra and its representation?? if yes, then put some video please!!
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what program are you using?
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Come teach at my highschool? (:
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just go six any side then go to the last mark peroid~!!!!
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This one I liked! Cool! I've got it right a way!
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This is the easiest one o far! Had fun, anyway!
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@nhojmabon thanks
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@dheeraj54 Nice method, definitely not stupider.
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@nhojmabon nice method
mine was stupider
he has to walk 10 steps he has to select any 5 to the right and the rest automatically become upward
so the answer is 10c5 or 10 choose 5 =10!/5!.5!
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I saw this on Arts of problem solving so I already knew that I had to use combinatorics.
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Here's how I solved it:
You will need to make 5 steps down and 5 steps to the right.
R - Right, D - Down
One combination is 'RRRRRDDDDD', another is 'DRRRRRDDDD'. Finding all combinations of this 10 lettered word is a standard high school math problem.
Possible combinations = (Total letters factorial)/(5D's factorial x 5R's factorial) = 10(fac)/(5fac x 5fac) = 10x9x8x7x6x5x4x3x2x1/(5x4x3x2x1 x 5x4x3x2x1) = 252 combinations.
nhojmabon 2 years ago 28
lol at first I thought there were 12 ways. Now after the video I know i couldn't be more wrong. To see the connection to the binomial coefficients amazed me!
Thank you Sal for making these videos!!!!
02280228 2 years ago 7