Permutation refers to the arrangement of objects in a specific order, while combination refers to the selection of objects without considering the order in which they are chosen.
The number of ways to arrange a set of coins can be calculated using the formula n!, where n is the number of coins. For example, if you have 4 coins, there are 4! or 24 ways to arrange them.
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 selected. This is also known as the "n choose r" formula.
You should use permutation when the order of the objects matters, and combination when the order does not matter. For example, if you are arranging coins in a specific order, you would use permutation. If you are selecting coins without considering the order, you would use combination.
Yes, permutation and combination can be applied to real-world problems such as arranging seats at a dinner party or selecting a team for a sports tournament. These concepts are also used in fields such as statistics, probability, and genetics.