Assuming that by "arrange" you mean "order" (if you really mean "arrange", there are infinitely many possible ways to arrange even just two objects; you could separate them by 1 inch, or by 2 inches, or by 3.14159265... inches, and that's without even getting into left vs. right or above vs. below or at an angle of x degrees from horizontal) ...
You can choose any of the 6 to be first, any of the remaining 5 to be second, any of the remaining 4 to be third, and so on, down to the last one where you have no choice because it's the only one left.
That means there are 6x5x4x3x2(x1), or 6! = 720 possible orderings.
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6 to the power of 6 so 6x6x6x6x6x6=46,656
6
6! = 720
To find the number of ways Aling Rosa can arrange 6 potted plants in a row, we use the concept of permutations. Since order matters in this scenario, we use the formula for permutations of n objects taken r at a time, which is nPr = n! / (n-r)!. In this case, n = 6 and r = 6, so the number of ways Aling Rosa can arrange the 6 potted plants is 6! / (6-6)! = 6! / 0! = 6! = 720 ways.
If you have three DIFFERENT letters, you can arrange them in 3! = 1 x 2 x 3 = 6 different ways.