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About A company is placing an order for boxed lunches for a meeting of its executive...

About A company is placing an order for boxed lunches for a meeting of its executive board. There are 10 members of the board and each will have one lunch. The company is getting the lunches from a restaurant that has 25 varieties of boxed lunches.

(a) How many different ways are there for the company to place the lunch order for the 10 lunches? Note that it is not important who gets what lunch. All that matters is how many of each of the 25 possible varieties are purchased

b) How many ways are there for the company to place the lunch order if the 10 lunches purchased are all different? (Again, who gets what lunch is not important, just how many of each lunch are purchased)

c: for the formula c(n+r-1,r-1), how do we choose n and r ?

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