c is the product of each integer from 1 to 50, inclusive and d=100^k, where k is an integer . What is the greatest value of k for which y is a factor of c?
Choose the correct choice from the following choices:
A) 7	B) 6	C) 5	D) 4	E) 9
The number of trailing zeros in the decimal representation of n!, the factorial of a non-negative integer n, can be determined with this formula:   n5+n52+n53+...+n5k, where k must be chosen such that 5k≤n   x = 1*2*3....*50 = 50!   No. of trailing zeros in 50! = 50/5 + 50/5^2 = 10+2= 
<gadget id="calculator">10+2</gadget>
<output>12</output>
12   100^k= 10^2k → k = 12/2= 
<gadget id="calculator">12/2</gadget>
<output>6</output>
6   6
<result>B</result>
c is the product of each integer from 1 to 50, inclusive and d=100^k, where k is an integer . What is the greatest value of k for which y is a factor of c?