11. (15pts) A passcode is created using 5 digits from the numbers 0-9. a. If repeat digits are allowed, how many total pass codes can be created? 10 10 10 10 10 = 1001000 b. How many passcodes can be created that only contain even numbers? (Hint: zero is an even number). 012,4. 6, 8 5 5 5 5 5= 3125 c. What is the probability that a randomly chosen passcode contains only even numbers? 12. (6pts) To celebrate reaching mid-semester you decide to treat yourself to some frozen yogurt. The Frozen Yogurt Shoppe has 10 different toppings you can select to put on top of your Froyo. (For example: oreos, mams, sprinkles, etc). You decide that you only want 2 toppings, how many ways can you choose 2 toppings out of the 10 total? (Hint: if you are putting these toppings on Froyo does order matter?) 10 . 9 = 90 You decide to go all out and get 4 toppings, how many ways can you choose 4 toppings out of the 10 total? 10 9 8 1