Gordon buys 5 dolls for his 5 nieces. The gifts include two identical S beach dolls, one E, one G, one T doll. If the youngest niece doesn't want the G doll, in how many different ways can he give the gifts
Answers.
A) 24	B) 48	C) 72	D) 96	E) 120
Total # of ways to distribute SSEGT among 5 sisters (without restriction) is 5!2!=605!2!=60;   The # of ways when the youngest niece gets G is: 4!2!=124!2!=12 (give G to youngest and then distribute SSET among 4 sisters).   So, # of ways when youngest niece doesn't get G is: 60−12=4860−12=48.   Answer: 48.   ANSWER:48
<result>B</result>
Gordon buys 5 dolls for his 5 nieces. The gifts include two identical S beach dolls, one E, one G, one T doll. If the youngest niece doesn't want the G doll, in how many different ways can he give the gifts