Suppose that in a certain association there are 12 elected members of the Board of Directors. How many ways can the president, vice president, secretary, and treasurer be selected from the board?
How many ways can you place different books on shelf M if there is space enough for only 5 books?
A high school play has 15 Futsal games during the season. How many ways can the team end the season with 8 wins, 5 losses, and 3 ties?
How many distinguishable permutations are possible with all the letters of the word BAYANIHAN?
Five couples want to have their pictures taken. In how many ways can they arrange themselves in a row if the couples must stay together? In how many ways can they stand anywhere?