How do I find binomial coefficients for long numbers using Pascal Triangle?

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SUMMARY

The discussion focuses on calculating binomial coefficients for large numbers using the formula n!/(r!(n-r)!). The specific examples provided include the coefficients for the numbers represented as 9....9 and 6....9. Participants clarify the notation and emphasize the importance of understanding factorial calculations in this context. The conversation highlights the straightforward application of the binomial coefficient formula without delving into complex computational methods.

PREREQUISITES
  • Understanding of factorial notation and calculations
  • Familiarity with binomial coefficients
  • Basic knowledge of combinatorial mathematics
  • Ability to work with large integers in calculations
NEXT STEPS
  • Research advanced techniques for calculating large factorials efficiently
  • Explore combinatorial algorithms for binomial coefficient computation
  • Learn about the properties of Pascal's Triangle in relation to binomial coefficients
  • Investigate programming libraries that handle large number arithmetic
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Mathematicians, computer scientists, and anyone interested in combinatorial mathematics or algorithms for calculating binomial coefficients.

TonyC
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Trying to find the binomial coeffiecients of
9....9
and
6....9

How do I do this?
 
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I'm not sure what you mean by 9...9 etc. but you can calculate the binomial coefficient simply as n!/(r!(n-r)!)
 

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