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.
--------
Question: 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

Answer: Option C


Question: Question: If 12 men do a work in 80 days, in how many days will 16 men do it?

 Option A: 17 days

 Option B: 19 days

 Option C: 15 days

 Option D: 60 days

 Option E: 14 days

Answer: Option D


Question: Question: What is the equation of a circle of radius 5 units centered at (3, 2)?

 Option A: x^2 + y^2 + 6x – 4y = 23

 Option B: x^2 + y^2 - 6x + 4y = 23

 Option C: x^2 + y^2 + 6x + 4y = 23

 Option D: x^2 + y^2 - 6x – 4y = - 12

 Option E: x^2 + y^2 - 6x – 4y = 12

Answer:
Option E