Assignment #1- EMath 3 Section Exercise 3.1A 1. In how many ways can a club consisting of 30 members choose a president, a secretary, a treasurer, and an auditor? 2. A man has 22 shirts, 6 pairs of pants and 5 pairs of shoes. How many different outfits, consisting of one shirt, one pair of pants and one pair of shoes, are possible? 3. In how many ways can a club of 48 members choose a president, vice president and a secretary? 4. How many arrangements can be made from the word PROBABILITY when all are taken at a time? 5. In how many ways can 6 men and 6 women sit around table so that no two women are adjacent? Evaluate the following: 1. 8! + 2! 5. P(6, 5) 2. 121 + 4! 6. 3! . P(6, 2) 3. 7!-5! 7. C(8, 1) 4. 2!(3!)(4!) 8. C(11, 7) 9. P(10, 3) 13.P(3, 3) . P(8, 6) 10. P(12, 5 ) 14. P(5, 2) . C(5, 1) 11. 3! . P(8, 1) 15. C(4, 2) . C(3, 1) 12. 4! . C(7, 3) Section Exercise 3.3A Classify each statement as an example of classical probability, empirical probability, or subjective probability. 1. The probability of winning at a raffle draw is 0.01. 2. The probability of getting a diamonds in a deck of card is % . 3. The probability of a person will watch the morning news is 0.22. 4. The probability that a randomly selected family owns a car is 0.23. 5. The probability that a student will passed in Statistics subject is 75%. 6. The probability of getting a 4 or a 5 in a single roll of a die is 1/3 . 7. The probability that a 70-year-old man will live for at least 3 more years is 0.36. 8. The probability that a new fast-food restaurant will be a failure in Rizal province is 30%