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: A certain company employs 8 senior officers and 4 junior officers. If a committee is to be created, that is made up of 3 senior officers and 1 junior officer, how many different committee are possible?

 Option A: 8

 Option B: 24

 Option C: 58

 Option D: 224

 Option E: 210
answer:
Option D


question:
Question: The population of a certain town increases by 50 percent every 50 years. If the population in 1950 was 810, in what year was the population 160?

 Option A: 1650

 Option B: 1700

 Option C: 1750

 Option D: 1800

 Option E: 1850
answer:
Option C


question:
Question: If P represents the product of the first 14 positive integers, then P is NOT a multiple of

 Option A: 99

 Option B: 84

 Option C: 72

 Option D: 65

 Option E: 85
answer:

Option E