"Thanks in Advanced, If you could kindly include an explanation, diagram, etc. That would be very helpful"
. There are three identical red flags and 5 identical white flags that are used to send signals. All 8 flags must be used, how many signals can be given? . Out of 17 contacts in her cell phone, how many different ways can Susan set the first four speed-dial contacts? . A restaurant serves 5 main dishes, 3 salads, and 4 desserts. How many different meals can be served if each has a main dish, one salad and a dessert? . Change the bases appropriately: a. 12910 to binary Base 2 b. A6916 to Base 10 c. 312 4 to Base 5 . You want to arrange 6 of your favorite CD's along a shelf. How many different ways can you arrange the CD's assuming that the order of the CD's makes a difference to you? . Find the number of four digit numbers that can be written using the digits from the set {0,1,2,3,4} and 0 cannot be the first number: a. Repeated digits are allowed. b. Repeating digits are not allowed. c. Odd number. ( last number should not be even) . A physics exam consists of 9 multiple-choice questions and 6 open-ended problems in which all work must be shown. If an examinee must answer 6 of the multiple-choice questions and 3 of the open-ended problems, in how many ways can the questions and problems be chosen? . A lottery game has balls numbered 0-9. If a ball is selected at random, what is the probability of selecting an even numbered ball or a 3? Bob has purchased 12 tickets for an office raffle in which the winner will receive an iPod. If 104 tickets were sold altogether and each has an equal chance of winning, what are the odds against Bob winning the iPod? 10. Asingle( six sided) die is rolled. Find the odds: a. against getting a number less than 4. b. in favor of getting an even number( 2,4 or 6) 16. A teacher and 10 students are to be seated along a bench in the bleachers at a basketball game. In how many ways can this be done if the teacher must be seated in the middle and a difficult student must sit to the teacher's immediate left? 11. In how many ways can three of eight people line up at a ticket counter? 12. A card is drawn at random from a standard 52-card deck. Find the probability that the card is an ace or not a club? 13. How many different permutations of the letters in the work ALABAMA are there? 14. Abe, Bob, Charlotte and Deidre have tickets for 4 reserved seats in a row at a concert. In how many different ways can they seat themselves so that Abe and Deidre will sit next to each other? 15. Using the 36 possibilities found in the product table for rolling two dice, list and count the outcomes for which the sum (for both dice) is the following. 1. Between 7 and 10 2. Even sum Table 2 Rolling Two Fair Dice Green Die 5 (1, 1) (1, 2) (1, 3) (1,4) (1, 5) ( 1, 6 ) 2 (2, 1) ( 2, 2 ) ( 2, 3 ) ( 2 , 4 ) ( 2 , 5 ) ( 2 , 6 ) (3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6) 36 Red Di possible (4, 1) (4, 2) (4, 3) (4,4) (4, 5) ( 4, 6 ) results 5 (5, 1) (5,2) (5, 3) (5, 4) (5, 5) (5, 6) (6, 1) (6,2) (6, 3) (6,4) (6, 5) (6, 6)
