PLEASE HELP! Combinatorics-Probability
1.
Justine and Shamoy are trying to calculate the number of possible sandwiches that can be made at Subway TM. They are in a disagreement about the number of options there are for cheese and vegetable selections. The local Subway TM offers the following cheese options: 1. Processed ("American") cheese 2. Cheddar 3. Shredded cheese These are the veggie options: 1. Lettuce 2. Tomatoes 3. Baby spinach 4. Cucumbers 5. Green peppers 6. Black olives 7. Red onions 8. Pickles 9. Banana peppers 10. Jalapenos Their calculations are as follows: Justine has calculated there are (3+ 1) = 4 different Shamoy has calculated there are 23 = 8 different options for cheese and (10+ 1) = 11 different options for options for cheese and 210 = 1024 different options for vegetables. vegetables.Who is correct for each option? Select one: O a. Justine is correct for both cheese and veggies. O b. Shamoy is correct for cheese, and Justine is correct for veggies. O c. Shamoy is correct for both cheese and veggies. O d. Justine is correct for cheese, and Shamoy is correct for veggies.Lily is planning a summer road trip starting in Vancouver, BC, stopping in Medicine Hat, AB, and ending in Saskatoon, SK. Lily has 5 different route options to pick between Vancouver, BC and Medicine Hat, AB and 3 options between Medicine Hat, AB and Saskatoon, SK. How many possible routes are there for Lily's road trip from Vancouver, BC to Saskatoon, SK and back again, stopping in Medicine Hat, AB both ways? To keep it interesting, Lily wants to take a different route back on both legs of the road trip. Answer:Unbeknownst to each other, Fynn and Shamoy are both planning a summer road trip starting in Winnipeg, MB, stopping in Calgary, AB, and ending in Whistler, BC. They have 5 different route options to pick between Winnipeg, MB and Calgary, AB and 6 options between Calgary, AB and Whistler, BC. Fynn carefully researches the options, and selects the "best" route. Shamoy thinks it's more exciting to let chance decide, and selects a completely random route. What is the probability that Fynn and Shamoy take the exact same route? Select one: O a. 121 1 O b. 30 1 O C. 11 1 O d. 900Using the digits 0, 1, 4, 5, 6, and 8, how many four-digit numbers smaller than 6500 can be formed if repetition is allowed? Answer:What is the probability of rolling a sum of 10 (a total of 10 pips) on two dice? Select one: O a. g 5 O b. 18 O C. 12 5 O d. 36