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 how many ways can the letters of word DEVELOP be arranged such that all the vowels as well as all the Consonants always appear together?

 Option A: 9!

 Option B: 3!*4!*2!

 Option C: 5!*5!

 Option D: 5!*4!*2!

 Option E: 6!*4!

Output: Option B


Input: Consider Input: Question: The parameter of a square is double the perimeter of a rectangle. The area of the rectangle is 480 sq cm. Find the area of the square?

 Option A: 482

 Option B: 268

 Option C: 260

 Option D: 480

 Option E: 632

Output: Option D


Input: Consider Input: Question: A box contains 3 blue marbles, 2 red, 6 green marbles and 2 yellow marbles. If three marbles are picked at random, what is the probability that they are all blue?

 Option A: 1/286

 Option B: 2/455

 Option C: 1/91

 Option D: 4/455

 Option E: None of these


Output: Option A