Thirteen people show up to play dodgeball. How many ways are there to choose 10

Thirteen people show up to play dodgeball. How many ways are there to choose 10 players totake the field? How many positive integers less than 1000 have at least one decimal digit equal to 9? How many people are needed to guarantee that at least two were born on the same day of theweek (e.g. Sunday Monday Tuesday etc.) and in the same month? How many ways are there to select 12 countries in the United Nations to serve on a council if 3are selected from a block of 40 4 are selected from a block of 55 and others are selected from theremaining 65 countries? A witness to a hit-and-run accident tells the police that the license plate of the car in the accidentcontains three letters followed by three digits. The first two letters are the letters AS in that order. Thedigits contain both the digits 1 and 2 though they cannot remember which position they are in. They doknow the other digit is NOT a 1 or 2. How many different license plates can fit this description?