Statement-1 : The number of ways of distributing 10 identical balls in 4 distinct boxes such that no box is empty is
Statement-2 : The number of ways of choosing any 3 places from 9 different places is
Statement-1 is true, Statement-2 is false.
Statement-1 is false, Statement-2 is true.
Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.
Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.
As we learnt in
Theorem of Combination -
Each of the different groups or selection which can be made by taking r things from n things is called a combination.
- wherein
Where
Let 4 distinct boxes be x, y, z and w
x + y + z + w = 10,
x' + y' + z' = 6
ways =
Correct option is 3.
Option 1)
Statement-1 is true, Statement-2 is false.
This is an incorrect option.
Option 2)
Statement-1 is false, Statement-2 is true.
This is an incorrect option.
Option 3)
Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.
This is the correct option.
Option 4)
Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.
This is an incorrect option.
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