Question

A department store chain is expanding into a new market, and is considering 13 different sites on which to locate 5 stores. Assuming that each site is equally likely to be chosen, in how many ways can the sites for the new stores be selected?

Answer 1

There are 1,287 ways to select the sites for the new stores.

Step-by-step explanation:

The number of ways the sites for the new stores can be selected can be calculated using combinations. In this case, we need to select 5 stores out of 13 sites, which can be done in C(13, 5) ways. The formula for combinations is C(n, r) = n! / (r! * (n-r)!), where n is the total number of items and r is the number of items to be selected. Plugging in the values, we get C(13, 5) = 13! / (5! * (13-5)!) = 13! / (5! * 8!) = (13 * 12 * 11 * 10 * 9) / (5 * 4 * 3 * 2 * 1) = 1,287.