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Fixed Row, Random Draw (Posted on 2010-05-14) Difficulty: 1 of 5
Determine the probability that a number randomly drawn from the row of Pascal's Triangle having precisely 128 numbers is divisible by the 127th number (reading left to right) in that row.

No Solution Yet Submitted by K Sengupta    
Rating: 2.0000 (1 votes)

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re(3): 2 easy, we try harder-- who,what,why Comment 5 of 5 |
(In reply to re(2): 2 easy, we try harder-- who,what,why by Ady TZIDON)

127 being prime,all coefficients in the 128 th row,safe the first and the last, will be divisible by 127.

Hi Ady

I was not aware of this remarkable property of Pascals triangle, which I found fascinating. I worked through the first few coefficients, then it got late; I was very relieved to find when I next looked that there was such a handy short cut!

 


  Posted by broll on 2010-05-16 03:02:30
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