Instructions: 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: Problem: in a group of 7 boys and 8 girls, 5 members are to be selected. in how many different ways can they be selected such that at least 3 boys should be there ?
Options: a. 1200, b. 1500, c. 1281, d. 1339, e. 1296
Output:
c