devarshi-dt-logo

Question:

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

Statement-1 is true, Statement-2 is false

Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.

Statement-1 is false, Statement-2 is true.

Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.

Solution:

The number of ways of distributing n identical objects among r persons such that each person gets at least one object is same as the number of ways of selecting (r - 1) places out of (n - 1) different places, that is n-1Cr-1. = 10 - 1C4 - 1 = 9C3 Hence, option 'A' is correct.