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Statement-1: The number of ways of distr...

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)`.

A

Statement-1 is true, statement-2 is true, statement-2 is a correct explanation for statement-1

B

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

C

Statement-1 is true, statement-2 is false

D

Statement-1 is false, statement-2 is true

Text Solution

Verified by Experts

The correct Answer is:
A
The number of ways of distributing 10 identical balls in 4 different boxes such that no box is empty`=.^(10)C_(4-1)=.^(9)C_(3)`
statement-1 is true.
The number of ways of choosing any 3 places from 9 different places.`=.^(9)C_(3)`
statement-2 is true.
both statement are true but statement-2 is not a correct explanation for statement-1.
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