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: How many words can be formed by taking 4 letters at a time out of the letters of the word MATHEMATICS.

 Option A: 2154

 Option B: 2454.

 Option C: 2254

 Option D: 2354

 Option E: 1245
answer:
Option B


question:
Question: As a treat for her two children, a mother runs to the freezer in which she has three cherry ice pops, three orange ice pops, and four lemon ice pops. She chooses two at random to bring outside to the children, but realizes as she runs out the door that she cannot bring them different flavors without one being jealous of the other and getting even more upset. What is the probability that she has to return to the freezer to make sure that they each receive the same flavor?

 Option A: 2/5

 Option B: 3/7

 Option C: 7/12

 Option D: 11/15

 Option E: 17/25
answer:
Option D


question:
Question: Ben and Shari have invited three other couples to their apartment for a game of charades. Everyone is to be split into two equal teams, but each team must consist of either two couples or no couples. How many different pairs of teams are possible?

 Option A: 11

 Option B: 14

 Option C: 22

 Option D: 35

 Option E: 70
answer:

Option A