instruction:
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: Read the following three equations:
5 ~ 4 ~ 3 ~ 9 = 4215
6 ~ 9 ~ 2 ~ 6 = 3816
4 ~ 7 ~ 3 ~ 3 = 1122
Now based on the rule that has been used, solve the following equation:
4 ~ 2 ~ 7 ~ 4 = ____

 Option A: 1416

 Option B: 2910

 Option C: 2940

 Option D: 3749

 Option E: 4470
answer:
Option A


question:
Question: If a committee of 2 people is to be selected from among 5 married couples so that the committee does not include two people who are married to each other, how many such committees are possible?

 Option A: 20

 Option B: 40

 Option C: 50

 Option D: 80

 Option E: 120
answer:
Option B


question:
Question: If 4^k = 5, then 4^(2k+2) =

 Option A: 400

 Option B: 540

 Option C: 100

 Option D: 830

 Option E: 420
answer:

Option A