“I hit “Shuffle” on my music app to randomize my “Chillin’ Out” playlist, and it played all 12 of my songs in alphabetical order.”
a. How many arrangements are there of 12 distinct items?
b. How many of those arrangements are alphabetical?
c. Compute the probability that the event described happened by random chance

Answer this question only if you know the answer! 30 points and

You are a clerk at convenience store. a customer owes 11.69 for a bag of potatoes chips. she gives you a five dollar bill. how much change should the customer receive?

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y < 4x − 8 y is greater than or equal to negative 5 over 2 times x plus 5 part a: describe the graph of the system, including shading and the types of lines graphed. provide a description of the solution area. (6 points) part b: is the point (5, −8) included in the solution area for the system? justify your answer mathematically. (4 points)