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.

[Q]: Question: During the break of a football match, the coach will make 3 substitutions. If the team consists of 14 players among which there are 2 forwards, what is the probability that none of the forwards will be substituted?

 Option A:  21/55

 Option B:  18/44

 Option C:  21/99

 Option D:  28/44

 Option E:  36/55
[A]: Option C


[Q]: Question: If integers a and b are distinct factors of 30, which of the following CANNOT be a factor of 30?
I. ab + b^2
II. (a + b)^2
III. a + b

 Option A: I only

 Option B: II only

 Option C: III only

 Option D: I and II only

 Option E: I, II, and III
[A]: Option B


[Q]: Question: Triangle STV has sides ST = TV = 26, and SV = 20. What is the area?

 Option A: 160

 Option B: 180

 Option C: 200

 Option D: 220

 Option E: 240
[A]:
Option E