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.

Ex Input:
Question: A code is to be made by arranging 9 letters. five of the letters used will be the letter A, two of the letters used will be the letter B, one of the letters used will be the letter C, and one of the letters used will be the letter D. If there is only one way to present each letter, how many different codes are possible?

 Option A: 42

 Option B: 210

 Option C: 46820

 Option D: 84002

 Option E: 90720

Ex Output:
Option E


Ex Input:
Question: A trailer carries 3, 4 and 5 crates on a trip. Each crate weighs no less than 120 kg. What is the maximum weight of the crates on a single trip?

 Option A: 1250

 Option B: 625

 Option C: 600

 Option D: 7500

 Option E: 375

Ex Output:
Option C


Ex Input:
Question: If two of the four expressions x+y, x+5y, x-y, 5x+y are chosen at random, what is the probability that their product will be of the form of x^2 - (by)^2, where b is an integer?

 Option A: 1/2

 Option B: 1/3

 Option C: 1/4

 Option D: 1/5

 Option E: 1/6

Ex Output:

Option E