)nik jain said:
Permutation and combination are both mathematical concepts used for counting and arranging objects. The main difference between the two is that permutation refers to the arrangement of objects in a specific order, whereas combination refers to the selection of objects without any particular order.
The formula for calculating permutations is n!/(n-r)!, where n is the total number of objects and r is the number of objects being arranged. For combinations, the formula is n!/r!(n-r)!. It is important to note that the order of objects does not matter in combinations, so the formula takes into account the number of ways the same objects can be arranged.
Permutations are used when the order of objects matters, such as in a race or a password combination. Combinations are used when the order of objects does not matter, such as in choosing a group of people for a committee or a lottery draw.
Yes, permutations and combinations are used in various real-life scenarios, such as in sports competitions, lottery draws, and password combinations. They are also used in fields such as statistics, probability, and computer science.
Yes, there are various shortcuts and tricks for solving permutation and combination problems, such as using factorial notation and understanding the concept of repetition in permutations. It is also helpful to practice and familiarize yourself with the formulas and concepts to solve problems efficiently.