hey guys can anyone help me with question b) c) and d) i am really confused for some reason i am not getting the correct answer.
18) Twenty-Four girls try out for the senior softball team at St. Marcellinus. In how many ways can a team of 9 fielders (1 pitcher, 1 Catcher, 4 Infielders, 3 Outfieders) be selected given each of the following conditions?
a) any girl can play any position.
so for a) it is 24C9 = 1 307 504
b) Of the girls trying out are Pitchers, 5 are Catchers and the other trying out play any of the other 7 field positions.
c) Emily must be pitcher and Jeannie must be the catcher, but the other girls can play any other position.
d) Louise cannot be on the team
the answers to :
b) 194 480
c) 170 544
d) 817 190
Thanks in advance
I think its important to understand why though, instead of just giving the answers.
c) 2 of the positions have been chosen, which means out of the 24 girls there are only 22 who can fill the remaining positions (and since 2 are taken, that leaves only 7 to be filled)
d) same sort of thing, try to figure out why yourself