There will be 3 floats in a parade. The parade organizers are trying to determine the order in which the floats should appear. How many different orders are possible?
To determine the number of different orders in which the floats can appear, we need to calculate the permutations. Since there are 3 floats, we can use the formula for permutations of n objects taken r at a time:
P(n, r) = n! / (n - r)!
where n is the total number of objects and r is the number of objects being selected.
In this case, there are 3 floats, and we want to determine the number of different orders, so we need to find P(3, 3):
P(3, 3) = 3! / (3 - 3)!
= 3! / 0!
= 3! / 1
= 3 x 2 x 1 / 1
= 6
Therefore, there are 6 different orders in which the floats can appear in the parade.
3!
Better review permutations.