A department store chain that is entering a new area is looking at 16 possible locations for the placement of its 7 outlets. There are 57657600 many possible ways to the sites for the new stores.
Given that,
A department store chain that is entering a new area is looking at 16 possibility locations for the placement of its 7 outlets.
We have to find how many different possibility are there to choose the locations for the new businesses, provided that each site has an equal chance of being chosen.
By multiplying the number of possibilities each store has, we may determine the total number of ways.
It can be put on 16 sites for store 1. 15 locations can accommodate Store 2 (since store 1 is already on site 1). Up until shop 7, which has 10 sites, store 3 can be situated on 14 sites.
The quantity of ways is thus:
= 16 × 15 × 14 × 13 × 12 × 11 × 10
= 57657600
Therefore, there are 57657600 many possible ways to the sites for the new stores.
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