Mathematics 30-2: Module 3 1 Module 3 Project CODE BREAKERS ACTIVITY SHEET Once you complete each question, input it into the applet. if the boxes are greyed out, use the arrow on the bottom left to move through the activity. Submit your completed Code Breakers Activity sheet with the rest of the Module 3 Project to your teacher for assessment. Submit your completed Module 3 Project using the lename m30_2_P3_youmame. Activity 1 1. How many different outts are there to choose from? Provide a tree diagram with your solution. Once you have completed your tree diagramI relum to Elite Math Code Breakers and enter your answer. (There are four different pairs of pants, 3 different shins and 2 different pairs of footwear) 2. a. You and your team need to exit the room in the correct order. In how many different orders can your group exit the room? (There are you and four friends) b. If you had to be last to exit. how many ways to exit would there be? Explain. 2012 Alberta Education Mathematics 30-2: Module 3 Module 3 Project Activity 2 3' at How many different arrangements of the 5 vehicles are possible if there must be a green vehicle at each end? Provide the solution to this question using blanket b What would the difference in the solution be if the green cars were identical? 4' What is the probability of choosing the correct pathway on the rst try? Draw and number the pathways to show a pictorial solution, Provide your answer as a fraction in lowest terms 2012 Alberta Education Mathematics 30-2: Module 3 Module 3 Project Activity 3 5. at Of the 10 of you, how many 4-person groups can be chosen to carry on if the group must consist of you and at least 1 of your detectives? (there is you, 4 other detectives and 5 volunteers)' bi What if the group had to include a detective and a volunteer? How would that change your answer? n+2)! n! 6. Solve : 30 for n. 7. How many arrangements of the letters in the word PRINCESS are there? Add the digits in the answer so you get a one-digit answer to use in the lock. 8, For 502 = 50,, determine the value at r, where 7 $2 9. What is the value of 0! 2012 Alberta Education