Comprehension- Consider the experiment of distribution of balls among urns. Suppose we are given...

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Comprehension-
Consider the experiment of distribution of balls among urns. Suppose we are given \( M \) urns, numbered 1 to \( M \), among which we are to distribute \( \mathrm{n} \) balls \( (nM) \). Let \( P(A) \) denote the probability that each of the urns numbered 1 to \( \mathrm{n} \) will contain exactly one ball. Then answer the following questions.

If the balls are identical but almost one ball can be put in any box then \( P(A) \) equals
(a) \( \frac{1}{{ }^{M} P_{n}} \)
(b) \( \frac{n !}{{ }^{n} C_{M}} \)
(c) \( \frac{n !}{{ }^{M} C_{n}} \)
(d) \( \frac{1}{{ }^{M} C_{n}} \)
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