3. A donut shop has donuts in the following five varieties: glazed, powdered, cinnamon, blueberry, and plain. Assuming there is at least 13 donuts of each variety, how many ways are there to choose 13 donuts. a. with no restrictions? b. with at least two of each variety? c. with three or fewer powdered donuts? d. with at least two glazed donuts, two or fewer blueberry donuts, and two or fewer plain donuts?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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3. A donut shop has donuts in the following five varieties: glazed, powdered, cinnamon, blueberry, and plain. Assuming there is at least 13 donuts of each variety, how many ways are there to choose 13 donuts. a. with no restrictions? b. with at least two of each variety? c. with three or fewer powdered donuts? d. with at least two glazed donuts, two or fewer blueberry donuts, and two or fewer plain donuts?

A donut shop has donuts in the following five varieties: glazed,
powdered, cinnamon, blueberry, and plain. Assuming there is at least 13 donuts of each variety,
how many ways are there to choose 13 donuts.
a. with no restrictions?
b. with at least two of each variety?
c. with three or fewer powdered donuts?
d. with at least two glazed donuts, two or fewer blueberry donuts, and two or fewer plain donuts?
Transcribed Image Text:A donut shop has donuts in the following five varieties: glazed, powdered, cinnamon, blueberry, and plain. Assuming there is at least 13 donuts of each variety, how many ways are there to choose 13 donuts. a. with no restrictions? b. with at least two of each variety? c. with three or fewer powdered donuts? d. with at least two glazed donuts, two or fewer blueberry donuts, and two or fewer plain donuts?
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