2 problems

Problem 1: A company is creating three new divisions and seven managers are eligible to be appointed head of a division. How many different ways could the three heads be selected? (Hint: Assume the division assignment makes a difference.) Problem 2: Berdine's Chicken Factory has several stores in the Hilton Head, South Carolina, area. When interviewing applicants for server positions, the owner would like to include information on the amount of tip a server can expect to earn per check (or bill). A study of 500 recent checks indicated the server earned the following amounts in tips per 8 -hour shift. a) What is the probability of a tip of $200 or more? b) Are the categories "o up to $20), "\$20 up to $50," and so on considered mutually exclusive? c) What is the probability of a tip up to $50 ? d) What is the probability of a tip less than $200