Answer:
180 possible arrangements
Explanation:
To find the number of different arrangements possible when Jim hangs 4 pictures in a row from a set of 6 pictures, we can use the permutation formula:
nPr = n! / (n - r)!
where n is the total number of items in the set (in this case, 6), and r is the number of items being chosen (in this case, 4).
Substituting the values, we get:
6P4 = 6! / (6 - 4)!
= 6! / 2!
= (6 x 5 x 4 x 3 x 2 x 1) / (2 x 1)
= 360 / 2
= 180
Therefore, there are 180 different arrangements possible when Jim hangs 4 pictures in a row from a set of 6 pictures.