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let a,b,c,d represent the 4 books

abcd, acbd, abdc, acdb, adbc, adcb, bacd, badc, bcad, bcda, bdac, bdca,

cabd, cadb, cbad, cbda, cdab, cdba, dabc, dacb, dbac, dbca, dcab, dcba

24 arrangements

answer can be found by multiplication

select 1st book -- 4 choices

2nd book -- 3 choices

3rd book -- 2 choices

4th book -- 1 choice

4x3x2x1 = 24

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Q: How many ways can you arrange four books on a shelf using a diagram?
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