[Math] What does this C symbol mean

combinatoricselementary-set-theorynotation

Problem from China Olympiad

What does the capital C symbol mean?

Best Answer

It is the binomial coefficient. There are 3 ways to write it in China:

  • In mainland, we prefer $$C_n^r=\frac{n!}{r!(n-r)!}.$$

  • In Hong Kong, we prefer $$nCr=C_r^n=\frac{n!}{r!(n-r)!}.$$

All are acceptable.

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