JEE MATHEMATICS MCQ: PERMUTATIONS

1 Easy

1 of 1

Application +4 | -1

A library has a copies of one book,

b

copies of each of two books,

c

copies of each of three books and single copies of d books. The total number of ways in which these book can be distributed, is

View answer and explanation

Correct option: B

\frac{{\left( {a + 2b + 3c + d} \right)!}}{{a!{{\left( {b!} \right)}^2}{{\left( {c!} \right)}^3}}}

Option B is correct because it accounts for the repetitions of identical books within each group (two books with b copies each and three books with c copies each) when calculating the total number of arrangements.

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