Test: Outcomes

Caleb is organizing textbooks on his bookshelf. He has an English textbook, a biology textbook, a physics textbook, and a health textbook. How many different ways can he line the textbooks up on his bookshelf?

Jose is trying to pick out an outfit for the first day of school. He can choose from 2 pairs of pants, 6 t-shirts, and 3 pairs of shoes. How many different outfits does Jose have to choose from?

How many different possible outcomes are there if you flip three coins?

How many different possible outcomes are there if you flip seven coins?

There are 9 athletes at a track meet. How many different ways can they finish first, second, and third?

There are 21 students in a homeroom. How may different ways can they be chosen to be elected President, Vice President, and Treasurer?

There were 13 students running in a race. How many different arrangements of first, second, and third place are possible?

A committee must be formed with 4 teachers and 7 students. If there are 10 teachers to choose from, and 10 students, how many different ways could the committee be made?

A pizza shop has available toppings of anchovies, olives, peppers, bacon, sausage, mushrooms, pepperoni and onions. How many different ways can a pizza be made with 4 toppings?

Find the coefficient of m³ in expansion of (m + 3)⁵.