Answer:
June 7th, 1979
Step-by-step explanation:
1979 comes before 1997, so that eliminates those. Then June comes before July. So June 7th, 1979.
This problem is basically


If I plug in n = 16 and r = 9

So there are 4151347200 different nine player batting orders that can be chosen from a baseball team of 16 :)