the notation of this section, we would depict the selection of two donuts of typ
ID: 3147266 • Letter: T
Question
the notation of this section, we would depict the selection of two donuts of type 1, three donuts of type 3, two donuts of type 4, and three donuts of type 5 by 1 1 [1121 1213] 3 3 3 [314]44 1415] 555. This notation unnecessarily labels the objects selected and the dividers. We could convey the same information using the stars and bars notation below. Here, each asterisk ("star") represents an object, and each bar represents a divider. (a) Give the stars and bars notation to represent the following selections. i. From five kinds of donuts, three of type 1, one of type 2, and two of type 4. ii. From six kinds of donuts, four of type 2 and two of type 6. iii. From seven kinds of donuts, three of type 1, four of type 4, and one of type 5. iv. From five kinds of donuts, no donuts are selected. (b) For each stars and bars representation below, describe in words the selections indicated.Explanation / Answer
Ans. a) i). ***|*||**|
ii). |****||||**
iii). ***|||****|*||
iv). ||||
Ans. b) i). From 7 kinds of donuts, two of type 1, one of type 4, and two of type 5.
ii). From 6 kinds of donuts, one of type 2, three of type 4, one of type 5 and four of type 6.
iii). From 6 kinds of donuts, two of type 4.
iv). From 3 kind of donuts, three of type 1 and two of type 3.
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