5. Suppose you planned on giving 7 gold stars to some of the 13 star students in your class. Each student can receive at most one star. How many ways can you do this? Use PIE, and also an easier method, and compare your results.
5. Suppose you planned on giving 7 gold stars to some of the 13 star students in your class. Each student can receive at most one star. How many ways can you do this? Use PIE, and also an easier method, and compare your results.
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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Transcribed Image Text:5. Suppose you planned on giving 7 gold stars to some of the 13 star
students in your class. Each student can receive at most one star. How
many ways can you do this? Use PIE, and also an easier method, and
compare your results.
6. Based on the previous question, give a combinatorial proof for the
identity:
1
n+k-1
(3) - (" + k-¹)-(-¹³¹(") ("+ * - (² + ¹).
-2+1+1
=
1)).
k
k
j=1
n
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