Final answer:
A student can select a major, a first minor, and a second minor out of 16 subjects in 3,360 different ways.
Step-by-step explanation:
In how many ways can a student select a major, a first minor, and a second minor out of 16 subjects? This can be solved using the concept of combinations. The number of ways to select a major is 16 because the student can choose any one of the 16 subjects. For the first minor, there are 15 remaining subjects to choose from since the major has already been selected. Similarly, for the second minor, there are 14 remaining subjects. Hence, the total number of ways to select the fields of study is 16 * 15 * 14 = 3,360.