Question 160982: A grocery store is arranging the Coke and Pepsi products for display on one row of shelving. The store carries 5 Coke products (Coke, Classic, Diet Coke, Caff free Coke Classic, Sprite and Coca-Cola Zero) and 7 different Pepsi products (Pepsi, Diet Pepsi, Pepsi vanilla, Pepsi twist, pepsi lime, wild cherry pepsi, and pepsi one.) How many different ways can these drinks be arranged so that all the Coke products are together and all the pepsi products are together?: A grocery store is arranging the Coke and Pepsi products for display on one row of shelving. The store carries 5 Coke products (Coke, Classic, Diet Coke, Caff free Coke Classic, Sprite and Coca-Cola Zero) and 7 different Pepsi products (Pepsi, Diet Pepsi, Pepsi vanilla, Pepsi twist, pepsi lime, wild cherry pepsi, and pepsi one.) How many different ways can these drinks be arranged so that all the Coke products are together and all the pepsi products are together?
Answer by tennisbuff07(20)  (Show Source):
You can put this solution on YOUR website!the simpliest way to do this would be to divide it into two problems.
the pepsi and coke must be separated, so you have to find out how many orders you have for the coke and how many for the pepsi, then multiply them together to get the total since youcan try every coke order with every pepsi order.
for coke you have five starting options, four for the second container, then three, two and one. that means we should use factorials.
the answer is 7! times 5! i will not solve that part for you though, but it can also be written out as : 7x6x5x4x3x2x1x5x4x3x2x1
|