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 car dealership offers its newest model in ten exterior and six interior colors. If the ten interior colors are identical to the ten exterior colors, and the dealership sells every pair of colors except those that would result in a car with an identically colored interior and exterior, how many different color combinations are possible?

 Option A: 45

 Option B: 81

 Option C: 90

 Option D: 10!/2!

 Option E: 36
answer:
Option E


question:
Question: If 5 ministers are to be seated at a round table conference, then how many different ways can they be seated?

 Option A: 240

 Option B: 60

 Option C: 24

 Option D: 720

 Option E: 180
answer:
Option C


question:
Question: Which oif the following is a prime number?

 Option A: 45

 Option B: 39

 Option C: 27

 Option D: 33

 Option E: 31
answer:

Option E