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: In a certain Gun shooting competition prizes were awarded as follows: the first place winner receives 11 points, the second place winner receives 7 points, the third place winner receives 5 points and the fourth place winner receives 2 points . No other points were awarded. John participated several times in the competition. The product of all the points he received was 84700. How many times did he participate in the competition.

 Option A: 7

 Option B: 5

 Option C: 3

 Option D: 2

 Option E: cannot be determined

Output: Option E


Input: Consider Input: Question: Two stations A and B are 20 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?

 Option A: 9

 Option B: 10

 Option C: 11

 Option D: 12

 Option E: 8

Output: Option E


Input: Consider Input: Question: In how many ways can the letters of the word EDUCATION be arranged?

 Option A: 2580

 Option B: 2500

 Option C: 2000

 Option D: 2520

 Option E: 362880


Output: Option E