This is the logic I used:
1st slot: 2 possibilities (out of the ladies)
2nd slot: 2 possibilities (out of the old men)
In the next 2 slots, anyone can fit (since "at most 2 young men" can't get violated when there are only 2 slots left)
So for the next 2 slots since order doesn't matter, 6C2 possibilities = 15 possibilities
Total = 2 times 2 times 15 = 60
But that's not an option, so where'd I go wrong?