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ParthKohli
 one year ago
If a ninedigit number \(x\) is formed using 1, 2, 3, 4, 5, 6, 7, 8, 9 without repetition, then find the probability that the nonnegative difference among all the digits equidistant from both ends is 1.
ParthKohli
 one year ago
If a ninedigit number \(x\) is formed using 1, 2, 3, 4, 5, 6, 7, 8, 9 without repetition, then find the probability that the nonnegative difference among all the digits equidistant from both ends is 1.

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ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.2The central number has to be odd. 5 ways to choose an odd number. Now if 3 is chosen then the fixed pairs are (1, 2), (4, 5), (6, 7), (8, 9) so 4! ways to move the pairs around and \(2^4\) ways to flip within the pair.\[\frac{4!\times 5 \times 2^4}{9!}= \frac{1}{189}\]Not a part of the choices...

thomas5267
 one year ago
Best ResponseYou've already chosen the best response.0How does this work? 864,152,579 is one such number. But 5 is equidistant to both ends and 55=0.

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.2Nah, the number at the center is not considered, because that way, there would be no such number.

FireKat97
 one year ago
Best ResponseYou've already chosen the best response.0what are your options?

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1Just to confirm that your answer is correct, I am getting the same 1920 numbers that satisfy the given requirement by bruteforce : https://jsfiddle.net/ganeshie8/Lqbagygh/embedded/result/

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.2Thank you sir. Please post that here. http://math.stackexchange.com/questions/1469932/theprobabilitythatnonnegativedifferenceofthedigitsatequaldistancesfr

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.2Oh, that question has an answer that exactly matches mine. Good.

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1I don't see 1/189 in that question...

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.2Exactly, it doesn't match the choices.

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1I'm not gonna spend more time on this.. typoes/gross mistakes are typical in textbooks written by indian authors in rush

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.2Ahahaha, why that username

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1"non negative difference" are we interpreting this particular phrase correctly ?

thomas5267
 one year ago
Best ResponseYou've already chosen the best response.0Nonnegative difference does not make much sense since the order of the subtraction is not specified.
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