Let n~ be defined for all positive integers n as the remainder when (n - 1)! is divided by n.
What is the value of 34~ ?
Choose the most appropriate option
A) 6	B) 1	C) 2	D) 0	E) 31
n~ = (n-1)!   so 34~ = (34-1)= 
<gadget id="calculator">(34-1)</gadget>
<output>33</output>
33!   when 33!/34 we have 16*2 inside 33!   hence 34 gets cancelled and we get remainder as 0   0
<result>D</result>
Let n~ be defined for all positive integers n as the remainder when (n - 1)! is divided by n.
What is the value of 34~ ?