Statement - 1: The number of ways of distributing 10 identical balls in 4 distinct boxes such that no box is emply is ⁹C₃. Statement - 2: The number of ways of choosing any 3 places from 9 different places is ⁹C₃.

(A) Statement - 1 is true, Statement - 2 is true, Statement - 2 is not a correct explanation for Statement - 1.

(B) Statement - 1 is true, Statement - 2 is false.

(C) Statement - 1 is false, Statement - 2 is true.

(D) Statement - 1 is true, Statement - 2 is true, Statement - 2 is a correct explanation for Statement - 1.

Permutations and Combinations: JEE Main 2011 Mathematics question

JEE Main 2011 · Annual, Paper 1 · Q4816

JEE Main 2011Annual, Paper 1MathematicsHardPermutations and Combinations98× since 2002

Statement - 1: The number of ways of distributing 10 identical balls in 4 distinct boxes such that no box is emply is

{}^9{C_3}

. Statement - 2: The number of ways of choosing any 3 places from 9 different places is

{}^9{C_3}

JEE Main 2011 · Annual, Paper 1 · Q4816

JEE Main 2011Annual, Paper 1MathematicsHardPermutations and Combinations98× since 2002

Statement - 1: The number of ways of distributing 10 identical balls in 4 distinct boxes such that no box is emply is

{}^9{C_3}

. Statement - 2: The number of ways of choosing any 3 places from 9 different places is

{}^9{C_3}