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Suppose that I have 6 different books,  2 of which are math books. In how many ways can I stack my 6 books on a shelf if I do not want the math books to be at the ends?

 Jan 4, 2022
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Answer: 228

Explanation:

 

For the first end, there are four choices; 6 books minus the 2 math books.

For the second end, there are three choices; 6 books minus the 2 math books and the first end.

For the middle four, there are 4! choices, which is just 24.

 

\(24 * 4 * 3 = 288\)

 

(My counting has always been bad and time has probably not helped it. There's a pretty good chance I did something wrong.)

 Jan 4, 2022
edited by WhyamIdoingthis  Jan 4, 2022
edited by WhyamIdoingthis  Jan 4, 2022

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