A department store chain is expanding into a new market, and is considering 16 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

We can find the number of ways by multiplying the amount of possibility each store can have.

For store 1, it can be placed on 16 sites. Store 2 can be placed on 15 sites (since store 1 is already on site 1). Store 3 can be placed on 14 sites and so on until store 5 which has 12 sites.

Therefore the number of ways is:

C = 16 * 15 * 14 * 13 * 12

C = 524,160 possibilities