Archit3110 wrote:
FTGreco wrote:
Why doesn't the order of the colors and images matter, in this case? I considered that if Sandy chooses for instance red for the left part and blue for the right part of the banner, those would be two different banners - and for this reason I calculated using permutation and not combination.
Which part of the problem statement would hint this to me (instead of calculating everything and then noticing that the number I got is not one of the possible answers)?
Thanks in advance!
Please share the formula you tried using
Apply the combinatorics formula to detetmine the possible options Sandy can choose from to get what he desires..
Okay, so the way I originally did this was by considering that she will use 1 Background (B, with 5 different options), 1 Font (F, with 4 different options), 2 Accent images (A1 with 6 different options and A2 with 5 remaining different options), and 4 Colors (C1, C2, C3, C4 with 12, 11, 10, 9 possible options respectively) to create a banner, resulting in 5*4*(6*5)*(12*11*10*9) = 7,128,000.
This is the same as simply applying the formula 5P1 * 4P1 * 6P2 * 12P4 = 7,128,000 which is not listed as a possible answer, since this method assumes that the order matters (so choosing red to paint one part and then blue to paint another part of the banner is different from using blue and then red).
I now understand what is the right way to solve this question (using combinations and not permutations), but I'd like to know if there is one key part of the problem statement that could indicate to me whether the order of the chosen elements (e.g. red and blue vs blue and red) should make a difference or not.