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: In 120 m race, A covers the distance in 36 seconds and B in 45 seconds. In this race A beats B by:

 Option A: 24 m

 Option B: 25 m

 Option C: 22.5 m

 Option D: 9 m

 Option E: 12 m

A: Option A
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Q: Question: 5 speakers gathered to deliver speeches on two topics. Even though 5 speeches were initially planned to be delivered, due to lack of time only 2 speeches were finally decided to be delivered. Topics are to be spoken in a specific order and the speeches differ with respect to speaker or topic. How many such two speeches are possible?

 Option A: 2

 Option B: 20

 Option C: 25

 Option D: 100

 Option E: 1024

A:
Option C
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