Determine the number of ways a team of 119 people can be chosen out of a group of 120.
Determine the number of ways a team of 2 people can be chosen out of a group of 17.
A class contains 27 boys and 29 girls. In how many ways can you select a team of 4 people from the class such that every member of the team is of the same sex?
Determine the number of ways to choose 3 people from 55.
In how many diﬀerent ways can 71 people be picked from 74?
How many 3-card hands can be chosen from a deck of 52 cards?
David has enough money to purchase only two books from the six he wants to read. Determine the number of ways he can choose them.
How many ways can a committee of 3 freshmen and 4 juniors be formed from a group of 8 freshmen and 11 juniors?
Madison wants to visit cities across the US, and she has placed the names of 32 cities into a hat. If she randomly draws 3 names from the hat, what is the probability that she gets Savannah, Austin, and Seattle?
How many lines are determined by 112 randomly drawn points, where no three of which are collinear?
How many lines are determined by 44 randomly drawn points, where no three of which are collinear?