Mrs. Thompson lines up brown, yellow, green, and pink markers in a tray. In how many different orders can she line them up?
orders
There are 24 different orders in which Mrs. Thompson can line up the markers.
To see why, we can use the permutation formula:
n! / (n - r)!
where n is the total number of items, and r is the number of items being selected and ordered.
In this case, we have 4 markers and we want to line them up in a specific order, so r = 4.
Plugging in the numbers:
4! / (4 - 4)! = 4! / 0! = 24
So there are 24 different orders in which Mrs. Thompson can line up the markers.
To determine the number of different orders Mrs. Thompson can line up the markers in the tray, we can use the concept of permutations.
A permutation is an arrangement of objects in a specific order. In this case, we want to find the number of permutations of the markers: brown, yellow, green, and pink.
Since there are four markers, the number of permutations can be determined by calculating 4 factorial (4!). The factorial of a number is the product of all positive integers less than or equal to that number.
So, the number of different orders in which Mrs. Thompson can line up the markers is:
4! = 4 × 3 × 2 × 1 = 24
Therefore, there are 24 different orders in which Mrs. Thompson can line up the markers in the tray.