Determine if each scenario is either a permutation or combination. Do NOT solve these scenarios. a) An art gallery displays 125
different pieces of artwork at a time. However, 15 pieces are selected to be displayed prominently throughout in the gallery. For instance, the most popular piece is displayed in a location that can be seen as soon as you walk in the door. Determine how many ways these more popular 15 pieces can be displayed throughout the gallery. b) An art gallery has a total of 320 different pieces of art. However, only 125 pieces can be displayed at a time. Determine how many ways those 125 pieces can be selected.
Since the order of 15 most important artwork pieces matter, with most popular at first and then at N0.2, 3,4, and so on. Whenever we are dealing with "order of placement" the question at hand is of permutations.
b)
Out of 320 pieces, 125 pieces are to be "selected" and displayed, the process of selection incurs Combinations in which the order in which we select does not matter.
I think the correct answer from the choices listed above is the last option. The axiom that allows x(10) to be written 10x would be the commutative property of multiplication. It states that numbers can be added or multiplied in any order. Hope this answers the question. Have a nice day.
