Final answer:
When calculating permutations, the number of possibilities is determined by multiplying the number of choices at each stage. Therefore, the number of permutations is always greater than the number of combinations.
Step-by-step explanation:
Permutations and combinations are used to determine the number of ways that events can occur. Permutations represent the arrangement of objects with respect to order, while combinations represent the selection of objects without considering order.
On the other hand, when calculating combinations, the number of possibilities is determined by dividing the number of permutations by the number of ways the objects can be arranged
When calculating permutations, the number of possibilities is determined by multiplying the number of choices at each stage. For example, if we have 4 objects and we want to arrange them in a specific order, there would be 4 choices for the first object, 3 choices for the second object, 2 choices for the third object, and 1 choice for the last object, resulting in 4! (four-factorial) possibilities.
On the other hand, when calculating combinations, the number of possibilities is determined by dividing the number of permutations by the number of ways the objects can be arranged. This is because combinations do not consider the order of the objects. Therefore, the number of permutations is always greater than the number of combinations.