data/problems/231.yml
---
:id: 231
:name: The prime factorisation of binomial coefficients
:url: https://projecteuler.net/problem=231
:content: "The binomial coefficient <sup>10</sup>C<sub>3</sub> = 120. \n120 = 2<sup>3</sup>
× 3 × 5 = 2 × 2 × 2 × 3 × 5, and 2 + 2 + 2 + 3 + 5 = 14. \nSo the sum of the terms
in the prime factorisation of <sup>10</sup>C<sub>3</sub> is 14. \n \nFind the
sum of the terms in the prime factorisation of <sup>20000000</sup>C<sub>15000000</sub>.\n\n"