A bakery has a special surprise box of twenty cookies that come with a random assortment of cookies from the shop. Today, the baker has six different types of cookies baked. Suppose someone bought the suprise box of cookies. (a)How many ways can the baker choose twenty cookies? (note: all we're looking for is how many of each type of cookie the baker puts in the box) (b)How many ways can the baker choose twenty cookies where there is at least one of each type of cookie? (c)How many ways can the baker choose twenty cookies where he puts in a minimum of two cookies of each type?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A bakery has a special surprise box of twenty cookies that come with a random assortment of cookies from the shop. Today, the baker has six different types of cookies baked. Suppose someone bought the suprise box of cookies. (a)How many ways can the baker choose twenty cookies? (note: all we're looking for is how many of each type of cookie the baker puts in the box) (b)How many ways can the baker choose twenty cookies where there is at least one of each type of cookie? (c)How many ways can the baker choose twenty cookies where he puts in a minimum of two cookies of each type?

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