Jason has different books to arrange on a shelf: 4 blue, 3 green, and 2 red?

A) In how many ways can the books be arranged on a shelf?

B) If books of the same color are grouped together, how many arrangements are possible?

C) In how many distinguishable ways can the books be arranged if books of the same color are identical but need not be grouped together?

D) In how many ways can you select 3 books, one of the each color, if the order in which the books are selected does not matter?

E) In how many ways can you select 3 books, one of each color, if the order in which the books are selected matters?

1 Answer

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  • Msean
    Lv 7
    1 decade ago
    Favorite Answer

    Regarding A, that would probably be a Conbinitorix problem, in which case it's just 4x3x2=24

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