How many different arrangements are there for placing identical coins into three different piggy banks, say red, blue and green, if the red piggy bank should contain at least 2 coins, the blue piggy bank should contain at least 1 coin, and the green piggy bank should contain at least 3 coins. Suppose that the three piggy banks together cannot contain more than 11 coins.

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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How many different arrangements are there for placing identical coins into three different piggy banks, say red, blue and green, if the red piggy bank should contain at least 2 coins, the blue piggy bank should contain at least 1 coin, and the green piggy bank should contain at least 3 coins. Suppose that the three piggy banks together cannot contain more than 11 coins.

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