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#42?
Options.
A) 23	B) 24	C) 25	D) 26	E) 27
21#42   = 21*24*27*30*33*36*39*42   = 3^11 * 7^2 * 2^7 * 5^1 * 11^1 * 13^1   so total is = 11+2+7+1+1+1= 
<gadget id="calculator">11+2+7+1+1+1</gadget>
<output>23</output>
23   23nswer 23
<result>A</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#42?