(A) List alphabetically by the first letter, all 3-letter license plate codes consisting of 3 different letters...

Question:

(A) List alphabetically by the first letter, all 3-letter license plate codes consisting of 3 different letters chosen from M, A, T, H. Discuss how this list relates to _nP_r.

(B) Reorganize the list from part (A) so that all codes without M come first, then all codes without A, then all codes without T, and finally all codes without H. Discuss how this list illustrates the formula _nP_r = r!_nC_r.

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