JEE Main2011MathematicsPermutation and CombinationActual
This question has Statement -1 and Statement -2 . Of the four choices given after the statements, choose the one that best describes the two statements. Statement - 1 : The number of ways of distributing 10 identical balls in 4 distinct boxes such that no box is empty is ^9 C ₃ Statement-2: The number of ways of choosing any 3 places from 9 different places is ^9 C ₃ .
Options
- AStatement -1 is true, Statement -2 is true; Statement -2 is not a correct explanation for Statement -1
- BStatement -1 is true, Statement -2 is false.
- CStatement -1 is false, Statement- 2 is true.
- DStatement -1 is true, Statement -2 is true; Statement -2 is a correct explanation for Statement -1
Correct answer
D. Statement -1 is true, Statement -2 is true; Statement -2 is a correct explanation for Statement -1
Step-by-step solution
(n-1) (r-1) = (10-1) (4-1) = ^9 C₃ Statement 1 is correct Statement 2 is also correct From 9 we can select 3 in ^9 C ₃ ways. It is correct explanation.