Answer

1. Use a tree diagram to show, or list, all possible outcomes when you toss a coin 3 times. 2. Licence plates consist of either 3 letters and 3 numbers or 4 letters and 3 numbers. How many different licence plates can be issued? 3a) In how many ways can a committee of three be selected from 12 students? b) In how many ways can a president, secretary, and treasurer be chosen from 12 students? 4. How many ways can 11 Redcoat basketball players and Coach Woodburn (12 people) be arranged along the sidelines: a) with no restrictions. b) if Coach Woodburn must be at one end of the bench? c) if Travis and Pat must stand together? d) if Travis, Pat, and Woody must stand together? e) if Travis and Pat must be kept separated? 5. In how many ways can a committee of three men and two women from eight men and six women? 6. How many 4 digit numbers can be formed using only the numbers 3 2 7 6 0 4 9 if: a) there are no repeats allowed? b) the number is odd and no repeats allowed? c) the number is greater than 4000 and no repeats are allowed? d) the number is greater than 4000 and repeats are allowed