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Cryptography

Worksheet 1

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Permutations and Combinations Worksheet I am ________________________________ Today is______________________in_____ Evaluate each permutation or combination: 1. 7P3 =210 2. 7P4 = 5040 3. 7P7 = 5040 4. 8C3 = 56 5. 8C5 ? 7C3 = 1960 6. 7C2 = 21 Find the number of possibilities (you must show your work). 7. The ski club with ten members is to choose three officers captain, co-captain & secretary, how many ways can those offices be filled? 720 8. You are on your way to Hawaii (Aloha) and of 15 possible books your parents say you can only take 10. How many different collections of 10 books can you take? 3003 9. For a segment of a radio show, a disc jockey (Dr. Jams) can play 4 songs. If there are 8 to select from,

Independent/Dependent

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Independent and Dependent Events For problems #1-6, determine whether the events are independent or dependent. Jeremy took the SAT on Saturday and scored 1950. The following week he took the ACT and scored 23. Alita?s basketball team is in the final four. If they win, they will play in the championship game. In a game, you roll an even number on a die and then spin a spinner numbered 1 through 5 and get an odd number. An ace is drawn, without replacement, from a deck of 52 cards. Then, a second ace is drawn. In a bag of 3 green and 4 blue marbles, a blue marble is drawn and not replaced. Then a second blue marble is drawn. You roll two dice and get a 5 each time. Find the probability of each event.

Permutations

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Name:_________________________________________Date:___________________________Period:_________ Section 13-2 Practice Probability with Permutations A high school performs a production of A Raising in the Sun with each freshman English class of 18 students. If the three members of the crew are decided at random, what is the probability that Chase is selected for lighting, Jaden is selected for props, and Emelina for spotlighting? What is the probability that a license plate using the letters C, F, and F and numbers 3, 3, 3, and 1 will be CFF3133? Alfonso and Colin each bought one raffle ticket at the state fair. If 50 tickets were randomly sold, what is the probability that Alfonso got ticket 14 and Colin got ticket 23?

13-2 mixed practice

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Name:_________________________________________Date:___________________________Period:_________ 13.2/13.5 Mixed Practice Mixed Probability Practice Determine whether the events are independent or dependent. Then find the probability. A king is drawn from a deck of 52 cards, then a coin is tossed and lands heads up. A spinner with 4 equally spaced sections numbered 1 through 4 is spun and lands on 1, then a die is tossed and rolls a 1. A red marble is drawn from a bag of 2 blue and 5 red marbles and not replaced, then a second red marble is drawn. A red marble is drawn from a bag of 2 blue and 5 red marbles and then replaced, then a red marble is drawn again. In a game two dice are tossed and both roll a six.
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