Statement I The number of ways of distributing 10 identical balls in 4 distinct boxes such that no box is empty is 9C3. ∵n identical things can be distributed to different boxes by n−1Cr−1 ways such that no box is empty. 10 identical balls can be distributed to 4 distinct boxes by 10−1C4−1 ways i.e. 9C3 ways Statement II The number of ways of choosing 3 places from 9 different places is 9C3 (true) ∴ Statement I is true statement II is true. statement II is nor a correct explanation for statement I.