If a coin is flipped twenty times, how many ways are there to get exactly ten tails and ten heads?
How many ways can the integers \(1,2,3,4,5,6\) be arranged such that \(2\) is adjacent to either 1 or 3?
Details and assumptions
2 could be next to both 1 and 3.
Ten players were entered into a badminton tournament. The first round consisted of 5 matches, with each player in one match. How many different ways could the 10 players be matched against each other?
How many ways are there to pick two distinct numbers from \(1\) to \(11\) such that the sum of the two numbers is even?
The baseball teams SeaWolves and Raptors are playing for the championship. If there are \(12\) players on the SeaWolves and \(11\) players on Raptors, how many ways are there to choose \(2\) players from the same team?