Part 1. Definition
The task is to generate the correct answer for a given math problem.
Part 2. Example
a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Answer: 625
Explanation: Total r of 5 * 5 * 5 * 5 = 5 ^ 4 = 625 ways to answer all of them. Therefore, the answer is 625.
Part 3. Exercise
Problem: right triangle abc is to be drawn in the xy - plane so that the right angle is at a and ab is parallel to the y - axis . if the x - and y - coordinates of a , b , and c are to be integers that are consistent with the inequalities - 8 x 2 and 4 y 9 , then how many different triangles can be drawn that will meet these conditions ?
Answer:
4032