In a survey, 674 adults were asked what television programs they had recently watched. The following information was obtained: 226 adults watched neither the Big Game nor the New Movie, and 289 watched the New Movie. If 183 of those who watched the New Movie did not watched the Big Game, How many of the surveyed adults watched the following? (a) Both programs. (b) At least one program. (c) The Big Game. (d) The Big Game but not the New Movie.

The serial number on a dollar bill consists of a letter followed by8 digits and then a letter. How many different serial numbers are possible given the following conditions? (a) Letters and digits can not be repeated. (b) Letters and digits can be repeated. (c) Letters are non repeated consonances and the digits can be repeated

A group of 20 people is selected at random. What is the probability that at least two of them will have the same birthday?