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.

Input: Consider Input: Problem: how many 4 - digit numbers that do not contain the digits 2, 3, 4, 5, 6, or 7 are there ?
Options: a. 168, b. 176, c. 184, d. 192, e. 200

Output: d


Input: Consider Input: Problem: the total age of a and b is 15 years more than the total age of b and c. c is how many year younger than
Options: a. 14 years, b. 12 years, c. 56 years, d. 66 years, e. 15 years

Output: e


Input: Consider Input: Problem: a box contains 100 balls, numbered from 1 to 100. if 3 balls are selected at random and with replacement from the box. if the 3 numbers on the balls selected contain two odd and one even. what is the probability r that the first ball picked up is odd numbered ?
Options: a. 0, b. 1 / 3, c. 1 / 2, d. 2 / 3, e. 1


Output: d