lottery sum

Roter

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Dec 1, 2011
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If 59c5=5006386 then how do I find the combinations that total 167?
 
Hello, Roter!

I will guess the situation . . .


\(\displaystyle \text{If }^{59}C_{5} = 5,\!006,\!386,\text{ then how do I find the combination that total 167 ?}\)

Using my powers of clairvoyance, I see a dark stranger . . . (wrong reading!)


I see a lottery in which 5 numbers are selected from 1-to-59.

A winning entry is one in which the sum of the numbers is 167.

List the combinations that total 167.


Whew! . . . That is a Herculean task.


BTW, that given number is no help.
It tells us the number of combinations we must examine.

At one number per second, it will take us 57 days, 22 hours,
.. 39 minutes, 46 seconds to read the entire list.
 
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