There are 50 identical apples that need to be distributed among alice, bob, and cathy. determine the numberof ways that this can be done such that each one of them gets at least 2 apples. as examples, possible distributions ofthe identical apples among alice, bob and cathy include (a, b, c.= (46, 2, 2); (10, 10, 30); (9, 2, 39), etc., where a, b and c denote the number of apples allocated to alice, bob and cathy respectively.