There Are 5 Comic Books And 4 Historical Fiction Books. In How Many Ways Can 4 Comic Bo…

there are 5 comic books and 4 historical fiction books. in how many ways can 4 comic books and 2 historical fiction books be setup on a bookshelf?

Answer:

30 ways

Silution:

Comic book:

nCr = 5!/4!(5–4)!

= 5!/4!1!

= 5×4×3×2×1/4×3×2×1×1

= 120/ 24

nCr = 5 ways

Historical fiction book

nCr = 4!/2!(4–2)!

= 4!/2!2!

= 4×3×2×1/2×1×2×1

= 24/4

nCr = 6 ways

Comic book × historical fiction book

nCr= 5 ways × nCr = 6 ways

5×6 = 30 ways

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