Leena is arranging 3 different books in a row on a shelf. Create a sample space for the arrangement of a detective story (D), a mystery story (M), and a comic book (C).
since we have 3 books in total, the possible arrangement for all three books is factorial 3 : \( 3\times2\times1 \) , which is equal to \(6\). "Create a sample space" we have to write down all possible arrangements -- that would be: C M D C D M M C D M D C D M C D C M that is 6 options, which matches the factorial 3 -- so we are done.
3 *1* 2 3*2* 1 1* 3* 2 1 *2 *3 2 *1 *3 2*3 *1
hmm if youre referring to the arrangments, you are right, BUT its stated that: "detective story `(D)`, a mystery story `(M)`, and a comic book `(C)`." just go with the letter-option one eh
k
thxs
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