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: In how many ways can the letters of word DEVELOP be arranged such that all the vowels as well as all the Consonants always appear together?

Option A: 9!

Option B: 3!*4!*2!

Option C: 5!*5!

Option D: 5!*4!*2!

Option E: 6!*4!

A: Option B
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Q: Question: Plaudia can choose any two of four different candles and any 8 of 9 different flowers for a centerpiece arrangement. Given these choices, how many candle + flower groupings can she select?

Option A: 54

Option B: 72

Option C: 96

Option D: 144

Option E: 432

A: Option A
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Q: Question: A Shopkeeper earns a profit of 12% on selling a book at 10% discount on the printed. The ratio of the cost price and the printed price of the book is:

Option A: 12:24

Option B: 29:23

Option C: 32:41

Option D: 45:56

Option E: 40:42

A:
Option D
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