You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option.

Input: Consider Input: Question: Twelve participants are participating in a competition. In how many ways can the first three prizes be won?

 Option A: 1320

 Option B: 680

 Option C: 820

 Option D: 720

 Option E: 620

Output: Option A


Input: Consider Input: Question: Car X began traveling at an average speed of 35 miles per hour. After 72 minutes, car Y began traveling at an average speed of 41 miles per hour. When both cars had traveled the same distance, both cars stopped. How many miles did car X travel from the time car Y began traveling until both cars stopped?

 Option A: 140

 Option B: 175

 Option C: 210

 Option D: 245

 Option E: 280

Output: Option D


Input: Consider Input: Question: An investor can sell her MicroTron stock for 36$ per share and her Dynaco stock for 44$ per share, If she sells 300 shares altogether, some of each stock, at an average price per share of 40$, how many shares of Dynaco stock has she sold?

 Option A: 52

 Option B: 75

 Option C: 92

 Option D: 136

 Option E: 150


Output: Option E