How many ways can 2 students be selected from a group of 5 students if order does not matter?

At a race track you have the opportunity to buy a ticket that requires you to pick the first and second place horses in the first two races. If the first race runs 12 horses and the second runs 9, how many different tickets are possible?

In a group of 50 patrons 18 patrons like lattes 16 patrons like espressos and 8 patrons like both coffee drink how many patrons don’t like either of the coffee drinks

Of 12 possible books, you plan to take 6 with you on vacation. How many different collections of 6 books can you take? You can take different collections of 6 books on vacation with you.

How many committees can be formed from 12 men and 12 women if the committee must consist of 3 men and 4 women?

From a group of 8 women and 6 men, a committee consisting of 3 men and 3 women is to be formed. How many different committees are possible if 2 men refuse to server together and 2 women will only serve together if they are together.

A group has 9 teenagers and 10 adults. 6 of them 4 teenagers and 2 adults will ride in the shuttle together. How many ways are possible to shoose the 6 riders?

Boris is putting 10 books in a row on his bookshelf. He will put one of the books, Pride and Predjudice, in the first spot. He will put another of the books, Little Women, in the last spot. In how many ways can he put the books on the shelf?

A ski team has five entrants in a men’s ski event. The coach would like the 1st, 2nd, and 3rd places to go to the team members. In how many ways can the five team entrants achieve the first three positions?

How many ways can 3 pizza toppings be selected from a choice of 12 toppings if each topping can be chosen only once? Enter your answer as a whole number.