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avatar+1121 

In how many ways can I arrange $3$ different math books and $4$ different history books on my bookshelf, if at least three of the history books are next to each other?

 Mar 25, 2024
 #1
avatar+14 
+1

\(= \binom 43 \cdot 5! = 480.\)

cheeky

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 Mar 25, 2024
 #2
avatar+53 
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wait, you made a error - you need to subtract the 6 ways all four are together 3 times, as that was quadruple counted

 Mar 25, 2024

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