1. A computer manufacturer has 50 distinct microchips to place into a rectangular array that is 5 units wide by 10 units long.
(A) Ten of.the chips control special functions. How many arrangements are possible if these chips must occupy the first column?
(B) Find the number of arrangements having no special function chips in the first column.
2. Twelve popular brands of beer are used in a blind taste study for consumer recognition
(A) If 4 distinct brands are chosen at random from the 12 and if a consumer is not allowed to repeat any answer; what is the probability that. all 4 brands could be identified by just guessing?
(B) If repeats are allowed in the 4 brands chosen at random from the 12 and if a consumer is allowed to repeat answers, what is the probability that all 4 brands are identified correctly by just guessing?