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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