Q34

MCQ2 marks, −0.5

$m$ identical balls are to be placed in $n$ distinct bags. You are given that $m \geq kn$ , where $k$ is a natural number $\geq 1$ . In how many ways can the balls be placed in the bags if each bag must contain at least $k$ balls?

(A)

$\left( \begin{array}{c} m - k \\ n - 1 \end{array} \right)$

(B)

$\left( \begin{array}{c} m - kn + n - 1 \\ n - 1 \end{array} \right)$

(C)

$\left( \begin{array}{c} m - 1 \\ n - k \end{array} \right)$

(D)

$\left( \begin{array}{c} m - kn + n + k - 2 \\ n - k \end{array} \right)$

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