Subject: Mathematics
Book: Maths Mastery
Permutations count distinct ways to arrange a set of objects where order matters. The formula for the number of permutations of n distinct items taken k at a time is P(n, k) = n! / (n–k)!. For example, the number of ways to arrange 3 items out of 5 is P(5, 3) = 5! / 2! = 60. Permutations arise in tasks like planning seat arrangements, ordering steps in processes, or counting possible password permutations. This concept is key to combinatorial analysis, bridging real-life scenarios where item order is crucial—such as scheduling or competition ranks.
If x^2 - 5x + 6 = 0, what are the roots?
View QuestionIf x^2 - 6x + 9 = 0, what is the value of x?
View QuestionIf a rectangle has a length of 10 cm and a width of 6 cm, what is its perimeter?
View QuestionThe area of an equilateral triangle with side length 6 cm is:
View QuestionWhat is the sum of all odd numbers from 1 to 99?
View QuestionWhat is the value of log₃(27)?
View QuestionIf the sum of three consecutive integers is 72, what are the integers?
View QuestionWhat is the area of an equilateral triangle with side length 10 cm?
View QuestionA train 150 m long passes a pole in 15 seconds. What is its speed?
View QuestionWhat is the sum of the first 10 positive even numbers?
View Question