There is a town party in Pleasantville where 6 families of 3 people each get together. If one representative from each family gives a gift to everyone at the party except people from their own family, how many gifts in total are given?

Find the number of different ways that 995 contestants can win different first, second and third prizes.

Find the number of different ways that an instructor can choose 7 students from a class of 12 students for a field trip.

An ice cream store stocks 30 different flavors and offers rainbow banana boat split that contains 3 scoops of ice cream each of a different flavor. On a banana boat they put one scoop of ice cream on the left one scoop in the middle and one scoop on the right of the banana boat. How many different rainbow splits can the store advertise?

A theater has 30 seats in the first row, 32 seats in the second row, in- creasing by 2 seats each row for a total of 26 rows. How many seats are there in the theater?

There are 10 teachers and 12 students willing to serve on a committee to improve technology at their school. How many committees will consit of 3 students and either 1 or 2 teachers all your marks.

One Sunday, 681 people visited the zoo. Of these, 291 were men, 135 were women, and the rest were children. How many more adults than children visited the zoo that day?

A poker hand consists of five cards from a deck of 52.  Order does not matter.  In how many ways can the hand consist of 3 hearts and 2 spades?

Find the number of different ways that an instructor can choose 5 students from a class of 13 students for a field trip.

A team of 22 soccer players needs to choose 3 players to fill water bottles. How many different groups can be made?