Data Management Crossword by Bobby D

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Across
  1. 2. There are 18 men and 20 women who are forming an indie game studio together. There need to be 1 leader for each of the positions of Lead Game Director, Lead Character Designer, Lead Animator, and Lead Storymaker. In how many ways could: 1a)The 4 positions be chosen without restrictions?
  2. 3. A professional E Sports team has 4 members from North Korea, 3 from Canada, 4 from Italy, three from Japan, 4 from California, and 2 from Florida. The coach needs 1 player in each position to create a starting lineup for individual photos. In how many ways could this lineup be done?
  3. 6. There are 102 people at a comic festival. Out of the 102 individuals, there are 98 people randomly selected to win a prize of, “Lucky Charms versus Spongebob Squarepants”. How many ways could those 98 individuals be chosen?
  4. 7. In a math contest hosted by Mr. Steeves, 3 students are asked to solve a problem. Their individual probabilities of solving the problem are 2/5, 1/3, and 3/6. What is the probability that at least one of them solves the problem?
  5. 8. There are 4 spots for holding cards on. How many linear arrangements are possible?
  6. 11. 2c) 1 is defective, and other is in perfect condition?
  7. 12. A high school’s soccer team has 20 students. 15 people remembered to wear their jersey for their fifth practice. Out of the 9 boys, 7 brought their jersey. If the team decided to pose for pictures in groups of 4, in how many ways could the photos be all boys or all wearing their uniforms?
  8. 13. 1c)The 4 positions be chosen if the Lead Character Designer and Lead Animator must have different genders?
  9. 15. Ethas has a 30% experimental probability of hitting the snooze button on his alarm clock every morning. When he hits the snooze button, he has a 15% chance of missing the bus. He has always arrived to his bus on time when he does not hit the snooze button. If Ethas’ alarm woke him 140 times over the course of the school year. How many times has Ethas missed the bus? (Round to nearest whole)
  10. 16. A mechanic is hosting a special event where he has 40 car engines, 35 of which are defective, and 5 of which are in perfect condition. If a customer randomly chose 2 car engines, what is the probability (as percent to nearest whole number) that: 2a) Both engines are in perfect condition?
  11. 17. There are 3 squares that have an “up” arrow. There are 2 that have a “left” symbol, 4 that have a “right” arrow, and 1 with a “down” arrow. What is the probability of stepping on a square with a “left” symbol?
Down
  1. 1. There are 10 chefs at a restaurant and they are all deciding who should wear 3 blue shirts, 4 reds, 1 yellow, and 2 black shirts. How many arrangements are there to decide which chef wears which shirt?
  2. 2. Two robbers stole cash from a convenience store and escaped, but before they got away, 2 students briefly saw their license plates. Licenses are made with a format of 2 letters and then followed with 4 digits. Police questioned both students. For the first license, Student 1 was positive that the first letter of the first license plate was either an I, L, or T, and that the third digit was either 3 or 8. Student 2 was sure that the first letter was a definite A, and that the second digit was either 4 or 5. For the second license, Student 1 was sure that the second letter was either an O or C, and that the last digit was either a 1,7, or 5. Student 2 thinks the first letter was either P or Q and the second digit was a definite 5. How many license plates do the police have to look for?
  3. 4. How many positive divisors does 2916 = (3^4)(6^2) have? Hint: positive divisor must be in form of (3^a)(6^b)
  4. 5. How many permutations of the word CALCULATOR can be made if the consonants must remain together?
  5. 9. 8 friends by the names of Alexa, Brad, Carlos, Diana, Elesa, George, Hamlet, and Ingram want to sit in a row at the movie theatre and only 8 seats are available. How many ways can they be seated?
  6. 10. How many ways can you rearrange the word, CALCULATOR?
  7. 14. 2b) Both engines are defective?
  8. 16. 1b) The 4 positions be chosen with at least 2 men?
  9. 17. iDance XD randomly generates either 10 right arrows or 10 left arrows as well as either 13 up or down arrows on the screen to show what arrows to step on for the pad. What is the probability percentage of the game generating 10 left arrows and 13 up arrows?