In how many ways 5 different balls can be distributed into 3 boxes so that no box remains empty?

Options

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

Answer

A

Explanation

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.