The expression x#y denotes the product of the consecutive multiples of 3 between x and y, inclusive. What is the sum of the exponents in the prime factorization of 21#33?	Select the correct option
A) 12
B) 13
C) 14
D) 15
E) 16
First, let's translate the expression 21#33, using the definition given:   21#33 = 21×24×27×30×33   We need the prime factorization of this product.   Let's factor out 3 from each multiple.   21#33 = 3^6(7×8×9×10×11)   Now let's replace each consecutive integer with its prime factorization:   21#33 = 3^5(7×2^3×3^2×(2×5)×11)   Let's group the prime bases:   21#33 = 2^4×3^7×5×7×11   The sum of the exponents is  4 + 7 + 1 + 1 + 1= 
<gadget id="calculator"> 4 + 7 + 1 + 1 + 1</gadget>
<output>14</output>
14   The answer is 14.
<result>C</result>
The expression x#y denotes the product of the consecutive multiples of 3 between x and y, inclusive. What is the sum of the exponents in the prime factorization of 21#33?