This question has Statement $-1$ and Statement $-2$. Of the four choices given after the statements, choose…
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 ${ }^9 \mathrm{C}_3$
Statement-2: The number of ways of choosing any 3 places from 9 different places is ${ }^9 \mathrm{C}_3$.
Statement $-1$ is true, Statement $-2$ is true; Statement $-2$ is not a correct explanation for Statement $-1$
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 $-1$
Solution
$
{ }^{(n-1)} C_{(r-1)}={ }^{(10-1)} C_{(4-1)}={ }^9 C_3
$
Statement 1 is correct
Statement 2 is also correct
From 9 we can select 3 in ${ }^9 \mathrm{C}_3$ ways. It is correct explanation