Cookie Dough

Mathematics

20 January, 19:42

Twenty people on a softball team show up for a game and of them, six are women. We aim

to assign the 10 positions of the softball team from those who have shown up.

(a) How many ways are there to choose 10 players such that at least two of these players

must be a woman?

(b) How many ways are there to choose 10 players such that at most four players must be

women?

(c) How many ways are to choose 10 players such none of these players are women?