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: 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

A: Option E
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Q: Question: Three candidates contested in an election and received 6136, 7636, 11628 votes respectively. What is the percentage of the total votes did the winning candidate get?

 Option A: 46%

 Option B: 49%

 Option C: 57%

 Option D: 51%

 Option E: 62%

A: Option A
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Q: Question: In a race where 8 cars are running, the chance that car X will win is 1/2, that Y will win is 1/4 and that Z will win is 1/3. Assuming that a dead heat is impossible, find the chance that one of them will win.

 Option A: 1/140

 Option B: 11/12

 Option C: 14/8

 Option D: 13/12

 Option E: 57/120

A:
Option D
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