nkmungila wrote:
For an integer n, the function f(n) is defined as the product of all integers from 1 to n, where n is greater than 10. Which of the following is NOT a factor of f(n)+1?
I. 2
II. 3
III. 10
A. None
B. II only
C. I and II only
D. I and III only
E. I, II and III
f(n) = n!, where n > 10. So, f(n) is even, a multiple of 3 and a multiple of 10.
Therefore, f(n) + 1 is odd, 1 more than a multiple of 3 and 1 more than a multiple of 10, which means that f(n) + 1 is not divisible by 2, 3, or 10.
Answer: E.
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44% (01:42) correct 
