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.
(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!
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Posted by broll
on 2010-05-16 03:02:30 |