A function g(n), where n is an integer, is defined as the product of all integers from 1 to n. How many of the followings must be a prime number?
g(11) + 7; g(11) + 8; g(11) + 9; and g(11) + 10?	Select:	A) 1	B) 2	C) 3	D) 4	E) none
g(11) is the product of all integers from 1 to 11, so g(11) = 11!   Thus g(11) is a multiple of all the integers from 1 to 11.   Then g(11) is a multiple of 7, 8, 9, and 10.   7 divides g(11)+7   8 divides g(11)+8   9 divides g(11)+9   10 divides g(11)+10   The answer is none.
<result>E</result>
A function g(n), where n is an integer, is defined as the product of all integers from 1 to n. How many of the followings must be a prime number?
g(11) + 7; g(11) + 8; g(11) + 9; and g(11) + 10?