A factorial question

Why is Option 2 wrong?

I understand why A, C, D is wrong.

For this question, why is Option 2 wrong? Correct answer is the last option.

I understand that Factorial + 1 can sometimes lead to a prime number, so that’s why those options with ‘+1’ is eliminated; and Factorial + (number bigger than the factorial number) is also eliminated because it could also lead to prime number. Between Option2 and last option, why do we choose the last option?

The sequence in option B does not contain x integers.

How do you calculate the number of integers in each sequence?

Last - first + 1 in this case (as they are consecutive).