2.25 A certain brand of shoes comes in 5 different styles, with each style available in 4 distinct colors. If the store wishes to display pairs of these shoes showing all of its various styles and colors, how many different pairs will the store have on display?

You want to plan a trip to visit four of the following cities: Athens, Barcelona, Dublin, Montreal, Paris, Rome and Vienna. An itinerary consists of a list of four cities to be visited, in order.   How many different itineraries are there?

With a short time remaining in the day, a delivery driver has time to make deliveries to 6 different locations among the 7 locations remaining. How many different routes are possible?

Mexico City Bank of Commerce and Industry is a busy bank. Due to different customers' needs, it needs to assign a different number of tellers at the counter at different times of each day. The table below indicates the number of bank Employees/tellers needed at different hours of a day (from 9 am. to 5 pm) at one of its branches. The branch will hire two different types of Employees/tellers: Full-time Teller and Part-time Tellers. The following is a summary of the info. в Етployees Full-time Employees: The bank currently has employed 18 Full time tellers/employees. Full-time tellers that work from 9 a.m. to 5 p.m. Each full-timer will be paid $85 per day on average. The 18 employees can't be layoff. However, the manager may use only Part of the 18 Full-Time Employees in this branch and relocate the rest to another branch with a relocation-related cost $10 per-employee per-day. That is, the employees to be relocated to another department will cost this department $10, instead of $85, a…

From a club of 19 ​people, in how many ways can a group of four members be selected to attend a​ conference?

Assume that there is a group of 13 students making presentations on 3 issues: parking fees, recreational sports facilities, and cafeteria quality. One student is selected to be primarily responsible for each issue. No one has responsibility for more than one issue. In how many ways can the issues be assigned?

Suppose you have 11 books and you randomly pick 3 to take on vacation with you. How many ways can you do this?