If 3^z is a factor of 52!, which of the following could be the value of z?
I. 22
II. 21
III. 23 Choose the correct option.
A) I ONLY	B) II ONLY	C) III ONLY	D) BOTH I AND II	E) NONE
3^z is a factor of 52!, what values can z take.   Powers of 3 in 52! = [52/3] + [52/9] +[52/27] , where [x] is the integral part of x   Powers of 3 in 52! = 17 + 5 + 1= 
<gadget id="calculator">17 + 5 + 1</gadget>
<output>23</output>
23   Hence the maximum value of 3^z in 52!= 3^23   Only Statement III satisfies   III ONLYorrect Option: III ONLY
<result>C</result>
If 3^z is a factor of 52!, which of the following could be the value of z?
I. 22
II. 21
III. 23