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posted by  Nicky 84 on 10/5/2008 8:14:39 PM  |  status: Live  

help please cant get it

Course Textbook Chapter Problem
Discrete Math N/A N/A N/A
Question Details:

 
A donut shop carries 5 different types of donuts. How many ways are there to buy 6

donuts? (You may assume the donut shop has at least 6 of each type of donut.)

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posted by Ronan on 10/5/2008 9:02:50 PM  |  status: Live
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Response Details:
1.  If you were tasked to buy just one donut the answer would be 5 as there are 5 to choose from
2. If you were tasked to buy two donuts the answer would be 5*5 as there are 5 to choose from for each choice.
3.  To buy 6 donuts would be 56 different ways.
4.  If you are counting the sequence of donuts, then a purchase of  a plain donut followed by a sugar donut would be different than a sugar donut followed by plain donut. 
5.  However, the usual answer to a question on what's in a bag of donuts does not depend on the order purchased.  So, to remove the combinations, the answer is 56/6!
 
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