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 ( x - 10 ) ( y - 5 ) ( z - 2 ) = 1000 then what is the least value of x + y + z ? if x, y, z are all integer no.
Options: a. 7, b. 8, c. 9, d. 10, e. 11
[A]: a


[Q]: Problem: kim has 3 pairs of shoes; each pair is a different color. if kim randomly selects 2 shoes without replacement from the 6 shoes, what is the probability that she will select 2 shoes of the same color ?
Options: a. 2 / 5, b. 1 / 5, c. 1 / 9, d. 1 / 10, e. 1 / 25
[A]: b


[Q]: Problem: a confectioner decides to sell all of his pastry due to the coming holiday. his pastry goods are equally divided among a group of 50 regular customers. if only 49 customers come to the bakery, each one will receive 6 less pastry goods. how much pastry does the confectioner needs to sell ?
Options: a. 500., b. 412., c. 432., d. 502., e. 522.
[A]:
a