instruction:
You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option.
question:
Question: Find the number of ways of arranging the letters of the word "MATERIAL" such that all the vowels in the word are to come together?

Option A: 1887 ways

Option B: 1440 ways

Option C: 1657 ways

Option D: 1652 ways

Option E: 6745 ways
answer:
Option B

question:
Question: A grocer purchased a quantity of bananas at 3 pounds for $0.50 and sold the entire quantity at 4 pounds for $1.00. How many pounds did the grocer purchase if the profit from selling the bananas was $6.00?

Option A: 72

Option B: 60

Option C: 90

Option D: 120

Option E: 240
answer:
Option A

question:
Question: What is the equation of a circle of radius 5 units centered at (3, 2)?

Option A: x^2 + y^2 + 6x 4y = 23

Option B: x^2 + y^2 - 6x + 4y = 23

Option C: x^2 + y^2 + 6x + 4y = 23

Option D: x^2 + y^2 - 6x 4y = - 12

Option E: x^2 + y^2 - 6x 4y = 12
answer:
Option E