At a buffet restaurant, the sundae station offers 5 different toppings. In how many different orders can they be arranged along the station?
Question
At a buffet restaurant, the sundae station offers 5 different toppings. In how many different orders can they be arranged along the station?
Solution
The number of different orders in which the sundae toppings can be arranged is determined by the number of permutations of the 5 toppings.
A permutation is an arrangement of objects in a specific order. The number of permutations of n objects is given by n factorial, denoted as n!.
Factorial means to multiply a series of descending natural numbers. For example, 5! = 5 * 4 * 3 * 2 * 1 = 120.
So, there are 120 different ways the sundae toppings can be arranged along the station.
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