Using the combination formula, there are 153 different ways for a person to get 2 problems wrong and 16 correct.
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this problem, we have that the parameters are given as follows:
Thus the number of ways is given as follows:
[tex]C_{18,16} = \frac{18!}{16!2!} = 153[/tex]
There are 153 different ways for a person to get 2 problems wrong and 16 correct.
More can be learned about the combination formula at https://brainly.com/question/25821700
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