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.

[Q]: 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
[A]: Option B

[Q]: Question: When the no.7y86038 is exactly divisible by 11, then the smallest whole no.in place of y?

Option A: 3

Option B: 4

Option C: 6

Option D: 7

Option E: 9
[A]: Option A

[Q]: Question: In a group of hats consisting of only blue hats, green hats, and purple hats, the ratio of blue hats to green hats to purple hats is 7:4:12. If there are a total of 138 hats in this group, how many of these hats are not blue?

Option A: 28

Option B: 42

Option C: 48

Option D: 96

Option E: 76
[A]:
Option D