PLEASE EXPLAIN WHY YOU CHOOSE EACH ANSWER
1). How many distinct ways can a President, Vice President,Secretary and Treasurer be selected from a group of 10 people if noone can hold more than on position?
A). P(10,4)
B). 10 choose 4
C). 10^4
D). 4^10
E). 13 choose 10
F). None of these
2). How many shortest lattice paths are there from (0,0) to(10,4)
A). P(10,4)
B). 10 choose 4
C). 10^4
D). 4^10
E). 13 choose 10
F). None of these
3). At a movie theater with 4 different movies, how many wayscan 10 people select a show? They do not have to all go to the sameshoe but several poeple can go to the same show.
A). P(10,4)
B). 10 choose 4
C). 10^4
D). 4^10
E). 13 choose 10
F). None of these