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.

In a test for esp (extrasensory perception), the experimenter looks at cards that are hidden from the subject. each card contains either a star, a circle, a wave, a cross or a square.(five shapes) as the experimenter looks at each of 20 cards in turn, the subject names the shape on the card. when the esp study described above discovers a subject whose performance appears to be better than guessing, the study continues at greater length. the experimenter looks at many cards bearing one of five shapes (star, square, circle, wave, and cross) in an order determined by random numbers. the subject cannot see the experimenter as he looks at each card in turn, in order to avoid any possible nonverbal clues. the answers of a subject who does not have esp should be independent observations, each with probability 1/5 of success. we record 1000 attempts. which of the following assumptions must be met in order to solve this problem? it's reasonable to assume normality 0.8(1000), 0.2(1000)%30 approximately normal 0.8(1000), 0.2(1000)% 10 approximately normal srs it is reasonable to assume the total number of cards is over 10,000 it is reasonable to assume the total number of cards is over 1000