A donut shop sells 12 types of donuts. A manager wants to buy six donuts, one ea

Question

A donut shop sells 12 types of donuts. A manager wants to buy six donuts, one each for himself and his five employees. Suppose that he does this by selecting a specific type of donut for each person. (He can select the same type of donut for more than one person.) In how many ways can he do this? How many ways could he select the donuts if he wants to ensure that he chooses a different type of donut for each person? Suppose instead that he wishes to select one donut of each of six different types and place them in the breakroom. In how many ways can he do this? (The order of the donuts in the box is irrelevant.)

Explanation / Answer

a)12*12*12*12*12*12=2985984ways b)12*11*10*9*8*7=665280ways c)

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