Topic: Beginning Probability

2. How many EVEN 3-digit numbers can be made using the digits 1, 2, 3, 4, 5, 6, 7, 8? (a) Repetitions are not allowed (b) Repetitions are allowed 3. A college plays 12 football games during a season. In how many ways can the team end the season with 7 wins, 3 losses, and 2 ties? 4. How many ordered arrangements are there of the letters in the word PHILIPPINES? 5. How many EVEN 3-digit integers less than 400 can be formed from the digits { 0, 1, 2, 3, 4, 5 } if: (a) Repetition is allowed? (b) No digit is repeated? 6. In how many ways can 4 married couples attending a concert be seated in a row of 8 seats if: (a) There are no restrictions as to where the 8 people can sit? (b) Members of the same sex are all seated next to each other? (c) Each married couple is seated together