Check over a) and answer b) please thanks

6) A coin collector decides to give away 15 different collector edition coins to 5 friends: a) How many ways can the coins be distributed if each friend is to receive an equal number? [A 2 ] 15 p 5 = 15!/ (15-5)! = 15 !/ 10 ! = 3 60 360 b) How many different combinations of coins can one friend receive if he/she is given at least one coin but can not receive them all? [ T 2 ]