Answer the following question. Sammy the Seahawk filled 49 packages with big and/or small pens. When 2 packages had the same number of pens, Sammy filled them with different selections of pens. For example, a package could have been filled with 3 pens in only 4 ways: 3 big, 2 big & 1 small, 1 big & 2 small, or 3 small. If no package was left empty, then what is the least total number of pens Sammy could have put in the 49 packages? (Remember: Your solution must show appropriate work or reasoning.)

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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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Answer the following question.
Sammy the Seahawk filled 49 packages with big and/or small pens. When 2 packages had the
same number of pens, Sammy filled them with different selections of pens. For example, a
package could have been filled with 3 pens in only 4 ways: 3 big, 2 big & 1 small, 1 big & 2 small,
or 3 small. If no package was left empty, then what is the least total number of pens Sammy
could have put in the 49 packages?
(Remember: Your solution must show appropriate work or reasoning.)
Transcribed Image Text:Answer the following question. Sammy the Seahawk filled 49 packages with big and/or small pens. When 2 packages had the same number of pens, Sammy filled them with different selections of pens. For example, a package could have been filled with 3 pens in only 4 ways: 3 big, 2 big & 1 small, 1 big & 2 small, or 3 small. If no package was left empty, then what is the least total number of pens Sammy could have put in the 49 packages? (Remember: Your solution must show appropriate work or reasoning.)
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