Question 87
Let $N$ denote the sum of the decimal digits of $\binom{1000}{100}$. Estimate the value of $N$. If your answer is a positive integer $A$ written fully in decimal notation (for example, 521495223), your score will be the greatest integer not exceeding $25 \cdot (0.99)^{|A-N|}$. Otherwise, your score will be zero.