Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid.

[Q]: Problem: if a - b = 6 and a 2 + b 2 = 50, find the value of ab.
Options: a. a. 7, b. b. 12, c. c. 15, d. d. 18, e. e. 20
[A]: a


[Q]: Problem: a soccer team played 280 games and won 65 percent of them. how many games did it win ?
Options: a. 182, b. 100, c. 104, d. 150, e. 124
[A]: a


[Q]: Problem: each digit 1 through 5 is used exactly once to create a 5 - digit integer. if the 3 and the 4 can not be adjacent digits in the integer, how many 5 - digit integers are possible ?
Options: a. 48, b. 66, c. 72, d. 78, e. 90
[A]:
c