Main post link -> http://blog.brilliant.org/2013/01/30/combinations/
Read the full article at the blog, feel free to ask questions, discuss the topic, or the test yourself questions below
How many ways can three different appetizers be chosen from a menu that has 10 choices?
In New York city, all the streets are arranged in a grid. A hospital is located 5 blocks east and 6 blocks north of an accident. How many ways are there to get there, if we only go 1 block north or 1 block east at each intersection?
An office with 30 people wants to have 4 teams of 5 players participate in a charity tournament. How many ways can the teams be made? Hint: Be very careful.
How many ordered integer solutions \((a, b, c, d)\) are there to \(a + b + c + d = 20\) subject to \( a \geq 1, b \geq 2, c \geq 3, d \geq 4 \)?
Winston must choose 4 courses for his final semester of school. He must take at least 1 science class and at least 1 arts class. If his school offers 4 science classes, 3 arts classes and 3 other classes, how many different choices for classes does he have?