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: a bag contains 10 red jellybeans and 10 blue jellybeans. if 3 jellybeans are removed one at a time, at random and are not replaced, what is the probability e that all 3 jellybeans removed from the bag are blue ?
Options: a. 9 / 100, b. 2 / 19, c. 1 / 8, d. 3 / 20, e. 3 / 10

Output: b


Input: Consider Input: Problem: together, 15 type a machines and 7 type b machines can complete a certain job in 4 hours. together 8 type b machines and 15 type c machines can complete the same job in 11 hours. how many q hours would it take one type a machine, one type b machine, and one type c machine working together to complete the job ( assuming constant rates for each machine. ?
Options: a. 22 hours, b. 30 hours, c. 44 hours, d. 60 hours, e. it can not be determined from the information above.

Output: c


Input: Consider Input: Problem: a box contains 10 tablets of medicine a and 10 tablets of medicine b. what is the least number of tablets that should be taken from the box to ensure that at least two tablets of each kind are among the extracted.
Options: a. 12, b. 15, c. 17, d. 19, e. 21


Output: a