Understanding a rule related to Young tableau
Physics Asked by time12 on June 4, 2021
This is my first time learning Young tableau, and I am struggling with a specific rule.
I am reading it from this lecture note.
The rule I am confused about is the very last point at the end of page 2. I have pasted a screenshot of it here for easy reference. Could someone explain a bit more why the tableau shown in the last sub-bullet point should be rejected? It says that the going from right to left for each row, the number of $b$‘s should not be more than the $a$‘s, but in this specific tableau there are one each of $a$ and $b$. So, why is it not allowed? 
One Answer
You aren’t considering the phrase “at any given box position”. Starting on the right of the first row with $b$, at that position there has been one $b$ and zero $a$’s, which is forbidden.
Correct answer by G. Smith on June 4, 2021
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