1
Question
Statement-1; 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; 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.
Open in App
Solution
The correct option is D Statement-1 is true, Statement-2 true; Statement-2 is a correct explanation for Statement-1.
The number of ways of distributing 10 identical balls in 4 distinct boxes such that no box empty is same as the number of ways of selecting (r-1) places out of (n-1) different places, that is n−1Cr−1
Different places, that is 10−1C4−1=9C3.
∴ Both statements are correct and second statement
is a correct explanation of statement-1.
The number of ways of distributing 10 identical balls in 4 distinct boxes such that no box empty is same as the number of ways of selecting (r-1) places out of (n-1) different places, that is n−1Cr−1
Different places, that is 10−1C4−1=9C3.
∴ Both statements are correct and second statement
is a correct explanation of statement-1.
Suggest Corrections
0
Similar questions
View More
Join BYJU'S Learning Program
Explore more
Join BYJU'S Learning Program
