Count the number of distinct ways of putting 3 balls into 4 boxes when: MB all boxes and balls are distinguishable; BE the boxes are different but the balls are indentical; FD the balls are identical, the boxes are different but hold at most a single ball. See if you can do the counting when there are m balls and n boxes.

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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). QUESTION:
Count the number of distinct ways of putting 3 balls into 4 boxes when:
MB all boxes and balls are distinguishable;
ВЕ
the boxes are different but the balls are indentical;
FD
the balls are identical, the boxes are different but hold at most a single ball.
See if you can do the counting when there are m balls and n boxes.
Transcribed Image Text:). QUESTION: Count the number of distinct ways of putting 3 balls into 4 boxes when: MB all boxes and balls are distinguishable; ВЕ the boxes are different but the balls are indentical; FD the balls are identical, the boxes are different but hold at most a single ball. See if you can do the counting when there are m balls and n boxes.
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