A bag contains printed articles of 4 different kinds: periodicals, novellas, newspapers and notebooks. When 4 articles are drawn from the bag without replacement, the following events are equally likely:
the selection of 4 periodicals
the selection of 1 novella and 3 periodicals
the selection of 1 newspaper, 1 novella and 2 periodicals and
the selection of 1 article of each kind
What is the smallest number of articles in the bag satisfying these conditions?
D. More than 46
2. The figure below is the map of a part of a city. The small rectangles are blocks and the spaces in between are streets. Each morning, a student walks from intersection A to intersection B along the streets shown and always walking east or south. For variety, at each intersection where he has a choice, he tosses a fair coin and goes east if it comes up heads and south otherwise. What is the probability that on any given morning, he walks through intersection c?