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: The probability that a visitor at the mall buys a pack of candy is 30%. If three visitors come to the mall today, what is the probability that exactly two will buy a pack of candy?

 Option A: 343

 Option B: 147

 Option C: 189

 Option D: 063

 Option E: 027

Output: Option C


Input: Consider Input: Question: The parameter of a square is equal to the perimeter of a rectangle of length 16 cm and breadth 14 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square. (Round off your answer to two decimal places)

 Option A: 77.14 cm

 Option B: 47.14 cm

 Option C: 84.92 cm

 Option D: 94.94 cm

 Option E: 23.57 cm

Output: Option E


Input: Consider Input: Question: 22 people are there, they are shaking hands together, how many hand shakes possible, if they are in pair of cyclic sequence.

 Option A: 21

 Option B: 22

 Option C: 44

 Option D: 45

 Option E: 46


Output: Option B